-3(2y-2)+9y=4+3(6y-1)

Solution for -3(2y-2)+9y=4+3(6y-1) equation:

Simplifying
-3(2y + -2) + 9y = 4 + 3(6y + -1)

Reorder the terms:
-3(-2 + 2y) + 9y = 4 + 3(6y + -1)
(-2 * -3 + 2y * -3) + 9y = 4 + 3(6y + -1)
(6 + -6y) + 9y = 4 + 3(6y + -1)

Combine like terms: -6y + 9y = 3y
6 + 3y = 4 + 3(6y + -1)

Reorder the terms:
6 + 3y = 4 + 3(-1 + 6y)
6 + 3y = 4 + (-1 * 3 + 6y * 3)
6 + 3y = 4 + (-3 + 18y)

Combine like terms: 4 + -3 = 1
6 + 3y = 1 + 18y

Solving
6 + 3y = 1 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
6 + 3y + -18y = 1 + 18y + -18y

Combine like terms: 3y + -18y = -15y
6 + -15y = 1 + 18y + -18y

Combine like terms: 18y + -18y = 0
6 + -15y = 1 + 0
6 + -15y = 1

Add '-6' to each side of the equation.
6 + -6 + -15y = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -15y = 1 + -6
-15y = 1 + -6

Combine like terms: 1 + -6 = -5
-15y = -5

Divide each side by '-15'.
y = 0.3333333333

Simplifying
y = 0.3333333333