3(y-2)=y-6

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

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

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

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

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

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

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

Solving
3y = 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.
3y + -1y = y + -1y

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

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

Divide each side by '2'.
y = 0

Simplifying
y = 0