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

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

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

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

Reorder the terms:
36 + -20y + 2(9 + 4y) = 0
36 + -20y + (9 * 2 + 4y * 2) = 0
36 + -20y + (18 + 8y) = 0

Reorder the terms:
36 + 18 + -20y + 8y = 0

Combine like terms: 36 + 18 = 54
54 + -20y + 8y = 0

Combine like terms: -20y + 8y = -12y
54 + -12y = 0

Solving
54 + -12y = 0

Solving for variable 'y'.

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

Add '-54' to each side of the equation.
54 + -54 + -12y = 0 + -54

Combine like terms: 54 + -54 = 0
0 + -12y = 0 + -54
-12y = 0 + -54

Combine like terms: 0 + -54 = -54
-12y = -54

Divide each side by '-12'.
y = 4.5

Simplifying
y = 4.5