x+(-y)=(-y)+x

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


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

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

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

Combine like terms: x + -1x = 0
0 + (-1y) = x + -1x + (-1y)
(-1y) = x + -1x + (-1y)

Combine like terms: x + -1x = 0
(-1y) = 0 + (-1y)
(-1y) = (-1y)

Add '(y)' to each side of the equation.
(-1y) + (y) = (-1y) + (y)
(-1y) + y = (-1y) + (y)

Combine like terms: (-1y) + y = 0
0 = (-1y) + (y)
0 = (-1y) + y

Combine like terms: (-1y) + y = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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