6-7(y+6)=12-9(y+6)

Solution for 6-7(y+6)=12-9(y+6) equation:

Simplifying
6 + -7(y + 6) = 12 + -9(y + 6)

Reorder the terms:
6 + -7(6 + y) = 12 + -9(y + 6)
6 + (6 * -7 + y * -7) = 12 + -9(y + 6)
6 + (-42 + -7y) = 12 + -9(y + 6)

Combine like terms: 6 + -42 = -36
-36 + -7y = 12 + -9(y + 6)

Reorder the terms:
-36 + -7y = 12 + -9(6 + y)
-36 + -7y = 12 + (6 * -9 + y * -9)
-36 + -7y = 12 + (-54 + -9y)

Combine like terms: 12 + -54 = -42
-36 + -7y = -42 + -9y

Solving
-36 + -7y = -42 + -9y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '9y' to each side of the equation.
-36 + -7y + 9y = -42 + -9y + 9y

Combine like terms: -7y + 9y = 2y
-36 + 2y = -42 + -9y + 9y

Combine like terms: -9y + 9y = 0
-36 + 2y = -42 + 0
-36 + 2y = -42

Add '36' to each side of the equation.
-36 + 36 + 2y = -42 + 36

Combine like terms: -36 + 36 = 0
0 + 2y = -42 + 36
2y = -42 + 36

Combine like terms: -42 + 36 = -6
2y = -6

Divide each side by '2'.
y = -3

Simplifying
y = -3