-3(2y-2)-y=-3(y-4)

Solution for -3(2y-2)-y=-3(y-4) equation:

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

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

Combine like terms: -6y + -1y = -7y
6 + -7y = -3(y + -4)

Reorder the terms:
6 + -7y = -3(-4 + y)
6 + -7y = (-4 * -3 + y * -3)
6 + -7y = (12 + -3y)

Solving
6 + -7y = 12 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
6 + -7y + 3y = 12 + -3y + 3y

Combine like terms: -7y + 3y = -4y
6 + -4y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
6 + -4y = 12 + 0
6 + -4y = 12

Add '-6' to each side of the equation.
6 + -6 + -4y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -4y = 12 + -6
-4y = 12 + -6

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

Divide each side by '-4'.
y = -1.5

Simplifying
y = -1.5