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

Solution for -4(3y-6)+3(2y+6)= equation:

Simplifying
-4(3y + -6) + 3(2y + 6) = 0

Reorder the terms:
-4(-6 + 3y) + 3(2y + 6) = 0
(-6 * -4 + 3y * -4) + 3(2y + 6) = 0
(24 + -12y) + 3(2y + 6) = 0

Reorder the terms:
24 + -12y + 3(6 + 2y) = 0
24 + -12y + (6 * 3 + 2y * 3) = 0
24 + -12y + (18 + 6y) = 0

Reorder the terms:
24 + 18 + -12y + 6y = 0

Combine like terms: 24 + 18 = 42
42 + -12y + 6y = 0

Combine like terms: -12y + 6y = -6y
42 + -6y = 0

Solving
42 + -6y = 0

Solving for variable 'y'.

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

Add '-42' to each side of the equation.
42 + -42 + -6y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -6y = 0 + -42
-6y = 0 + -42

Combine like terms: 0 + -42 = -42
-6y = -42

Divide each side by '-6'.
y = 7

Simplifying
y = 7