2(x+3)=6-y

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

Simplifying
2(x + 3) = 6 + -1y

Reorder the terms:
2(3 + x) = 6 + -1y
(3 * 2 + x * 2) = 6 + -1y
(6 + 2x) = 6 + -1y

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

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

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

Solving
2x = -1y

Solving for variable 'x'.

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

Divide each side by '2'.
x = -0.5y

Simplifying
x = -0.5y