2(y-3)=2x-6

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

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

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

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

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

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

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

Solving
2y = 2x

Solving for variable 'y'.

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

Divide each side by '2'.
y = x

Simplifying
y = x