6-y=2(x+7)

Solution for 6-y=2(x+7) equation:

Simplifying
6 + -1y = 2(x + 7)

Reorder the terms:
6 + -1y = 2(7 + x)
6 + -1y = (7 * 2 + x * 2)
6 + -1y = (14 + 2x)

Solving
6 + -1y = 14 + 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 + -1y = 14 + -6 + 2x

Combine like terms: 6 + -6 = 0
0 + -1y = 14 + -6 + 2x
-1y = 14 + -6 + 2x

Combine like terms: 14 + -6 = 8
-1y = 8 + 2x

Divide each side by '-1'.
y = -8 + -2x

Simplifying
y = -8 + -2x