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

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

Simplifying
(y + -6) + -1(y + 12) = 9y

Reorder the terms:
(-6 + y) + -1(y + 12) = 9y

Remove parenthesis around (-6 + y)
-6 + y + -1(y + 12) = 9y

Reorder the terms:
-6 + y + -1(12 + y) = 9y
-6 + y + (12 * -1 + y * -1) = 9y
-6 + y + (-12 + -1y) = 9y

Reorder the terms:
-6 + -12 + y + -1y = 9y

Combine like terms: -6 + -12 = -18
-18 + y + -1y = 9y

Combine like terms: y + -1y = 0
-18 + 0 = 9y
-18 = 9y

Solving
-18 = 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.
-18 + -9y = 9y + -9y

Combine like terms: 9y + -9y = 0
-18 + -9y = 0

Add '18' to each side of the equation.
-18 + 18 + -9y = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -9y = 0 + 18
-9y = 0 + 18

Combine like terms: 0 + 18 = 18
-9y = 18

Divide each side by '-9'.
y = -2

Simplifying
y = -2