-4(5y-9)+2(4y+6)=

Solution for -4(5y-9)+2(4y+6)= equation:

Simplifying
-4(5y + -9) + 2(4y + 6) = 0

Reorder the terms:
-4(-9 + 5y) + 2(4y + 6) = 0
(-9 * -4 + 5y * -4) + 2(4y + 6) = 0
(36 + -20y) + 2(4y + 6) = 0

Reorder the terms:
36 + -20y + 2(6 + 4y) = 0
36 + -20y + (6 * 2 + 4y * 2) = 0
36 + -20y + (12 + 8y) = 0

Reorder the terms:
36 + 12 + -20y + 8y = 0

Combine like terms: 36 + 12 = 48
48 + -20y + 8y = 0

Combine like terms: -20y + 8y = -12y
48 + -12y = 0

Solving
48 + -12y = 0

Solving for variable 'y'.

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

Add '-48' to each side of the equation.
48 + -48 + -12y = 0 + -48

Combine like terms: 48 + -48 = 0
0 + -12y = 0 + -48
-12y = 0 + -48

Combine like terms: 0 + -48 = -48
-12y = -48

Divide each side by '-12'.
y = 4

Simplifying
y = 4