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

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

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

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

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

Reorder the terms:
6 + -7y = 4(-4 + y)
6 + -7y = (-4 * 4 + y * 4)
6 + -7y = (-16 + 4y)

Solving
6 + -7y = -16 + 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 = -16 + 4y + -4y

Combine like terms: -7y + -4y = -11y
6 + -11y = -16 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + -11y = -16 + 0
6 + -11y = -16

Add '-6' to each side of the equation.
6 + -6 + -11y = -16 + -6

Combine like terms: 6 + -6 = 0
0 + -11y = -16 + -6
-11y = -16 + -6

Combine like terms: -16 + -6 = -22
-11y = -22

Divide each side by '-11'.
y = 2

Simplifying
y = 2