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

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

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

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

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

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

Solving
6 + -7y = 12 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
6 + -7y + 4y = 12 + -4y + 4y

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

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

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

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

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

Divide each side by '-3'.
y = -2

Simplifying
y = -2