2(y-3)=y-6

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

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

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

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

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

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

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

Solving
2y = 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.
2y + -1y = y + -1y

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

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

Divide each side by '1'.
y = 0

Simplifying
y = 0