Please show me the steps in solving this problem.?

Question

4(2-6y) + 7 = 3(5-7y)

Answer 1

Your first step is to multiply the bracketed terms out. That is, distribute the 4 for the first brackets, and the 3 for the second set of brackets.

8 - 24y + 7 = 15 - 21y

Add 21y to both sides

8 - 24y + 21y + 7 = 15 - 21y + 21y

Note that I chose to add 21y to both sides because on the right hand side, -21y + 21y = 0

8 - 24y + 21y + 7 = 15 + 0

We can just ignore the 0, because anything plus zero doesn't change it. We can also combine like terms on the left hand side.

8 - 3y + 7 = 15
15 - 3y = 15

Subtract 15 to both sides to get
15 - 15 - 3y = 15 - 15
0 - 3y = 0
-3y = 0

Divide both sides by -1/3.
(-1/3)(-3)y = 0

Note that any number multiplied by its reciprocal is 1. So we have
1y = 0

But 1 times anything is itself, so we can ignore the 1, to get
y = 0

Answer 2

Okay, first multiply what's in the brackets by what's outside of them:

4(2-6y) + 7 = 3(5-7y), therefore
8-24y + 7 = 15-21y, therefore
15-24y = 15-21y

Now subtract 15 from both sides:

-24y = -21y

As it happens, the only solution here would be y=0

Answer 3

4(2-6y) + 7 = 3(5-7y)
8 - 24y + 7 = 15 - 21y Distributive property
15 - 15 = -21y + 24y Simplify and get the y's on the same side.
0 = 3y simplify further.
0 = y And further.
4(2-6(0)) + 7 = 3(5-7(0)) Fill in for y to check answer.
4(2-0)+7=3(5-0) SImplify more.
8+7=15
15 = 15.

Answer 4

4(2-6y)+7=3(5-7y)
8-24y+7=15-21y
8+7=15
15-24y=15-21y
minus 15 from both sides, and add 24 to both sides
the answer is 3
(the minus shows that 21 is negative)

Answer 5

8-24y+7=15-21y Distributive Property
8-24y+7+24y=15-21y+24y Add 24y to both sides
8+7=15+3y
15=15+3y Simplify
15-15=15+3y-15 Subtract 15 from both sides
0=3y
0/3=3y/3 Divide by 3
0=y

Answer 6

4(2-6y) + 7 = 3(5-7y) distribute 4 & 3
8-24y+7=15-21y combine like terms
15-24y=15-21y subtract 15
-24y=-21y add 21y
-3y=0 divide by -3
y=0