2(y-3)=2(x+9)

Solution for 2(y-3)=2(x+9) equation:

Simplifying
2(y + -3) = 2(x + 9)

Reorder the terms:
2(-3 + y) = 2(x + 9)
(-3 * 2 + y * 2) = 2(x + 9)
(-6 + 2y) = 2(x + 9)

Reorder the terms:
-6 + 2y = 2(9 + x)
-6 + 2y = (9 * 2 + x * 2)
-6 + 2y = (18 + 2x)

Solving
-6 + 2y = 18 + 2x

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 + 2y = 18 + 6 + 2x

Combine like terms: -6 + 6 = 0
0 + 2y = 18 + 6 + 2x
2y = 18 + 6 + 2x

Combine like terms: 18 + 6 = 24
2y = 24 + 2x

Divide each side by '2'.
y = 12 + x

Simplifying
y = 12 + x