How do i Solve -7y + 2 = 4 - 3y + 6?

Answer 1

Hi,

For this question we need to isolate for y alone. Let's first begin by simplifying the right hand side of the equation to get:

-7y + 2 = 10 - 3y

Now, add 7y to both sides of the equation to get:

2 = 10 + 4y

Now, subtract 10 from both sides of the equation to isolate for y alone and get:

-8 = 4y

Finally, divide both sides by 4 to isolate for y alone and get:

FINAL ANSWER: y = -2

I hope that helps you out! Please let me know if you have any other questions!

Sincerely,

Andrew

Answer 2

1. Put all the terms with y on the left sides and the others on the right side:

-7y+3y=4+6-2

2. Simplify:
4y=8

Therefore y=8/4=2

Answer 3

-7y + 2 = 4 - 3y + 6
-7y +3y = 4 + 6-2
-4y = 8
y=8/-4
y=-2

Answer 4

7y - 2 = 3y - 4 - 6. We've multiplied through by -1 reversing the signs to make it easier to work with.
Consider the y's on both sides of the equation: we have 7y on the left hand side and 3y on the r.h.s. so if we subtract 3y from both sides the 3y on the r.h.s. will disappear and we'll be left with 4y on the l.h.s.
4y - 2 = - 4 (+) -6 = - 10.
Now we add 2 to b.s. to eliminate the -2 and isolate y:
4y = - 8 so
y = - 2 [answer].

Answer 5

-7y+2=4-3y+6
-2 -2
-7y=4-3y+4
-7y= 3y+8
-3y
-4y=8
-4
y=2

Answer 6

-7y+2 =4-3y+6
-7y+3y=8
-4y=8
y=-2

Answer 7

First combine on the right side: -7y+2 = -3y+10
Then, add 3 y to both sides: -4y+2 = 10
Then, subtract 2 from both sides: -4y = 8
Finally, divide both sides by -4: y = -2

Answer 8

-7y + 3y = 10 - 2
- 4y = 8
y = - 2

Answer 9

y equals -2