-3(2y-2)+8y=9+2(6y-9)

Solution for -3(2y-2)+8y=9+2(6y-9) equation:

Simplifying
-3(2y + -2) + 8y = 9 + 2(6y + -9)

Reorder the terms:
-3(-2 + 2y) + 8y = 9 + 2(6y + -9)
(-2 * -3 + 2y * -3) + 8y = 9 + 2(6y + -9)
(6 + -6y) + 8y = 9 + 2(6y + -9)

Combine like terms: -6y + 8y = 2y
6 + 2y = 9 + 2(6y + -9)

Reorder the terms:
6 + 2y = 9 + 2(-9 + 6y)
6 + 2y = 9 + (-9 * 2 + 6y * 2)
6 + 2y = 9 + (-18 + 12y)

Combine like terms: 9 + -18 = -9
6 + 2y = -9 + 12y

Solving
6 + 2y = -9 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
6 + 2y + -12y = -9 + 12y + -12y

Combine like terms: 2y + -12y = -10y
6 + -10y = -9 + 12y + -12y

Combine like terms: 12y + -12y = 0
6 + -10y = -9 + 0
6 + -10y = -9

Add '-6' to each side of the equation.
6 + -6 + -10y = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -10y = -9 + -6
-10y = -9 + -6

Combine like terms: -9 + -6 = -15
-10y = -15

Divide each side by '-10'.
y = 1.5

Simplifying
y = 1.5