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

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Solution for 2(x-1)+2(y-1)=y-3 equation:


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

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

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

Reorder the terms:
-2 + -2 + 2x + 2y = y + -3

Combine like terms: -2 + -2 = -4
-4 + 2x + 2y = y + -3

Reorder the terms:
-4 + 2x + 2y = -3 + y

Solving
-4 + 2x + 2y = -3 + y

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 2x + 4 + 2y = -3 + 4 + y

Reorder the terms:
-4 + 4 + 2x + 2y = -3 + 4 + y

Combine like terms: -4 + 4 = 0
0 + 2x + 2y = -3 + 4 + y
2x + 2y = -3 + 4 + y

Combine like terms: -3 + 4 = 1
2x + 2y = 1 + y

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

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

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

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

Simplifying
x = 0.5 + -0.5y

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