(x-2)+y=(x-2)-12

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Solution for (x-2)+y=(x-2)-12 equation:


Simplifying
(x + -2) + y = (x + -2) + -12

Reorder the terms:
(-2 + x) + y = (x + -2) + -12

Remove parenthesis around (-2 + x)
-2 + x + y = (x + -2) + -12

Reorder the terms:
-2 + x + y = (-2 + x) + -12

Remove parenthesis around (-2 + x)
-2 + x + y = -2 + x + -12

Reorder the terms:
-2 + x + y = -2 + -12 + x

Combine like terms: -2 + -12 = -14
-2 + x + y = -14 + x

Add '-1x' to each side of the equation.
-2 + x + -1x + y = -14 + x + -1x

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

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

Solving
-2 + y = -14

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + y = -14 + 2

Combine like terms: -2 + 2 = 0
0 + y = -14 + 2
y = -14 + 2

Combine like terms: -14 + 2 = -12
y = -12

Simplifying
y = -12

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