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

Solution for -5(4y-6)+2(3y+6)= equation:

Simplifying
-5(4y + -6) + 2(3y + 6) = 0

Reorder the terms:
-5(-6 + 4y) + 2(3y + 6) = 0
(-6 * -5 + 4y * -5) + 2(3y + 6) = 0
(30 + -20y) + 2(3y + 6) = 0

Reorder the terms:
30 + -20y + 2(6 + 3y) = 0
30 + -20y + (6 * 2 + 3y * 2) = 0
30 + -20y + (12 + 6y) = 0

Reorder the terms:
30 + 12 + -20y + 6y = 0

Combine like terms: 30 + 12 = 42
42 + -20y + 6y = 0

Combine like terms: -20y + 6y = -14y
42 + -14y = 0

Solving
42 + -14y = 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 + -14y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -14y = 0 + -42
-14y = 0 + -42

Combine like terms: 0 + -42 = -42
-14y = -42

Divide each side by '-14'.
y = 3

Simplifying
y = 3