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

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

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

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

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

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

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

Combine like terms: 3y + -3y = 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