7y-6(2y-12)=32

Solution for 7y-6(2y-12)=32 equation:

Simplifying
7y + -6(2y + -12) = 32

Reorder the terms:
7y + -6(-12 + 2y) = 32
7y + (-12 * -6 + 2y * -6) = 32
7y + (72 + -12y) = 32

Reorder the terms:
72 + 7y + -12y = 32

Combine like terms: 7y + -12y = -5y
72 + -5y = 32

Solving
72 + -5y = 32

Solving for variable 'y'.

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

Add '-72' to each side of the equation.
72 + -72 + -5y = 32 + -72

Combine like terms: 72 + -72 = 0
0 + -5y = 32 + -72
-5y = 32 + -72

Combine like terms: 32 + -72 = -40
-5y = -40

Divide each side by '-5'.
y = 8

Simplifying
y = 8