3(y-2)+6(2-y)=

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

Simplifying
3(y + -2) + 6(2 + -1y) = 0

Reorder the terms:
3(-2 + y) + 6(2 + -1y) = 0
(-2 * 3 + y * 3) + 6(2 + -1y) = 0
(-6 + 3y) + 6(2 + -1y) = 0
-6 + 3y + (2 * 6 + -1y * 6) = 0
-6 + 3y + (12 + -6y) = 0

Reorder the terms:
-6 + 12 + 3y + -6y = 0

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

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

Solving
6 + -3y = 0

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + -3y = 0 + -6

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

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

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

Simplifying
y = 2