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

Solution for -4(5y-6)+3(4y+6)=0 equation:

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

Reorder the terms:
-4(-6 + 5y) + 3(4y + 6) = 0
(-6 * -4 + 5y * -4) + 3(4y + 6) = 0
(24 + -20y) + 3(4y + 6) = 0

Reorder the terms:
24 + -20y + 3(6 + 4y) = 0
24 + -20y + (6 * 3 + 4y * 3) = 0
24 + -20y + (18 + 12y) = 0

Reorder the terms:
24 + 18 + -20y + 12y = 0

Combine like terms: 24 + 18 = 42
42 + -20y + 12y = 0

Combine like terms: -20y + 12y = -8y
42 + -8y = 0

Solving
42 + -8y = 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 + -8y = 0 + -42

Combine like terms: 42 + -42 = 0
0 + -8y = 0 + -42
-8y = 0 + -42

Combine like terms: 0 + -42 = -42
-8y = -42

Divide each side by '-8'.
y = 5.25

Simplifying
y = 5.25