-3(3y-2)+9y=4+2(6y-8)

Solution for -3(3y-2)+9y=4+2(6y-8) equation:

Simplifying
-3(3y + -2) + 9y = 4 + 2(6y + -8)

Reorder the terms:
-3(-2 + 3y) + 9y = 4 + 2(6y + -8)
(-2 * -3 + 3y * -3) + 9y = 4 + 2(6y + -8)
(6 + -9y) + 9y = 4 + 2(6y + -8)

Combine like terms: -9y + 9y = 0
6 + 0 = 4 + 2(6y + -8)
6 = 4 + 2(6y + -8)

Reorder the terms:
6 = 4 + 2(-8 + 6y)
6 = 4 + (-8 * 2 + 6y * 2)
6 = 4 + (-16 + 12y)

Combine like terms: 4 + -16 = -12
6 = -12 + 12y

Solving
6 = -12 + 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 + -12y = -12 + 12y + -12y

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

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

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

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

Divide each side by '-12'.
y = 1.5

Simplifying
y = 1.5