3(y-2)=y+2

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

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

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

Reorder the terms:
-6 + 3y = 2 + y

Solving
-6 + 3y = 2 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-6 + 3y + -1y = 2 + y + -1y

Combine like terms: 3y + -1y = 2y
-6 + 2y = 2 + y + -1y

Combine like terms: y + -1y = 0
-6 + 2y = 2 + 0
-6 + 2y = 2

Add '6' to each side of the equation.
-6 + 6 + 2y = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 2y = 2 + 6
2y = 2 + 6

Combine like terms: 2 + 6 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4