What is 4/7y - 8 =2/7y + 10 ?

Question

How do you solve it? 4/7 with y as the variable--same with 2/7 and y. Thanks for your help

Answer 1

If you mean (4/7) y - 8 = (2/7) y + 10, add 8 to, and subtract (2/7) y from, each side.*** Then:

(2/7) y = 18, so y = 7*18 / 2 = 126 / 2, that is

y = 63.

### CHECK: With x = 63, it's very easy to check, since 63 = 9 x 7; '7' is in the denominator of both fractions. So,

LHS = (4/7)63 - 8 = 4 x 9 - 8 = 28, and
RHS = (2/7)63 + 10 = 2 x 9 + 10 = 28: the two sides check out.

[### Note: it's important to check your answer, because not only can it show if it's CORRECT, it can also show if you've made an ERROR, and therefore encourage you to find and correct your mistake(s).]

*** It's always worth looking to see whether you can do more than one operation simultaneously on the sides of an equation, to cut down on the number of times you have to rewrite it on the way to the solution.

Good luck!

Live long and prosper.

Answer 2

First, I'm going to add parentheses here so that you mean 4/7 times y, as opposed to 4/(7y)

(4/7)y - 8 =(2/7)y + 10

Get all the Y terms on one side. Do this by subtracting (2/7)y from both sides, then adding 8 to both sides:

(4/7)y - 8 - (2/7)y =(2/7)y + 10 - (2/7)y
(4/7)y - 8 - (2/7)y = 10
(4/7)y - 8 - (2/7)y + 8 = 10 + 8
(4/7)y - (2/7)y = 18

Now factor out the y and subtract the fractions

(4/7 - 2/7)y = 18
(2/7)y = 18

Multiply both sides by 7/2 to solve for y.

7/2 * (2/7)y = 18 * 7/2
1 * y = 18*7/2
y = 63

Answer 3

so you'r solving for y.

alright here are some steps you can follow
it's not that hard so here we go

first of all you should multiply 7 on both sides in order to cancel out the dominator 7, which is a part of the coefficient of y.

ok so
equation is 4/7y-8=2/7y+10

now times 7 on both sides as i just mentioned before
4/7y-8(times7)=2/7y+10 (times7)
so the equation would be like this

4y-56=2y+70 did you get it?

alright now
you should make two ys into the the same side so that you can make only one y.

alright so i'll move 2y on the right side to the left
which would be looked like this
4y-2y-56=70

then i'll move -56 to the right
4y-2y=70+56

which is the same as

2y=126

now make y alone by moving 2 to the right
y=126/2

and there's your answer
y=63

i hope you can solve other similar questions by yourself from now on. Good luck!

Answer 4

4/7y - 8 =2/7y + 10
multiply by 7y to get rid of denominator
so,
4-56y=2 + 70y
simplify
2 = 14y
y = 1/7

Or, if the equation is really 4/7 x Y -8 = 2/7 x Y +10
then move like terms to same sides
2/7 x Y = 18
multiply by 7/2
y = 63

Answer 5

4/7y-8=2/7y+10
+8 +8 add the 8 to the other side

4/7y= 2/7y+18 subtract the 2/7y
2/7y -2/7y

2/7y=18 * 7/2 multiply by the reciprocal
*7/2

y=63 final answer!

Answer 6

Multiply both sides by 7 to get rid of the fractions:
7(4/7y-8)=7(2/7y+10)
4y-56=2y+70

Subtract 2y from both sides:
2y-56=70

Add 56 from both sides:
2y=126

Divide 2 from both sides:
y=63

Check:
4/7(63)-8=2/7(63)+10
36-8=18+10
28=28

Answer 7

whenever solving an equation with one variable, the first step is to combine like terms, which means terms that are multiplied by the same variable.

To do this, you want to have the terms with y on one side of the equation and without y on the other

So, subtract 2/7 from both sides to get:
2/7y-8 = 10

then, add 8 to both sides to get
2/7 y = 18.

Then, divide both sides by 2/7 and you will get that
y = 18/(2/7)
(use a calulator)

then you're done!

Answer 8

First add the 8 from the left to the right. Then subtract the 2/7y from the right to the left...so your left with 2/7y=18...then multiply by the reciprical 7/2 to both sides to get y=18x7/2=63!!

Answer 9

okay, in a problem like this your ultimate goal is to get the variable on ONE side of the equation. this will make it easier to solve. let's start by trying to get y on one side by itself.

we have the original equation:
4/7y - 8 = 2/7y + 10

subtract 2/7 y from each side to get:
2/7y - 8 = 10

now let's add 8 to both sides to get y by itself. now we have:
2/7y = 18

finally, we can multiply both sides by the reciprocal (7/2) to get rid of our y-coefficient. once we do this we will have our y-value.

(7/2)*2/7y = 18(*7/2)

coefficients cancel, now we have:
y = 18*(7/2)

multiply across, giving us:
y= 126/2

and reduce our fraction, leaving us with:
y= 63

hope that helps!

Answer 10

(4/7)y-8=(2/7)y+10
(4/7)y-(2/7)y = 10+8
[(4-2)/7]y = 18
(2/7)y = 18
2y = 18 * 7
y = (18*7)/2
y = 63.