-1(2x-2)=-2x+2y

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Solution for -1(2x-2)=-2x+2y equation:


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

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

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

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

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

Solving
2 = 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 + -2y

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

Add '-2' to each side of the equation.
2 + -2 + -2y = 0 + -2

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

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

Divide each side by '-2'.
y = 1

Simplifying
y = 1

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