2(1-y)=2y-6

Solution for 2(1-y)=2y-6 equation:

Simplifying
2(1 + -1y) = 2y + -6
(1 * 2 + -1y * 2) = 2y + -6
(2 + -2y) = 2y + -6

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

Solving
2 + -2y = -6 + 2y

Solving for variable 'y'.

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

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

Combine like terms: -2y + -2y = -4y
2 + -4y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
2 + -4y = -6 + 0
2 + -4y = -6

Add '-2' to each side of the equation.
2 + -2 + -4y = -6 + -2

Combine like terms: 2 + -2 = 0
0 + -4y = -6 + -2
-4y = -6 + -2

Combine like terms: -6 + -2 = -8
-4y = -8

Divide each side by '-4'.
y = 2

Simplifying
y = 2