x+y=x-y

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Solution for x+y=x-y equation:


Simplifying
x + y = x + -1y

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

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

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

Solving
y = -1y

Solving for variable 'y'.

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

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

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

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

Divide each side by '2'.
y = 0

Simplifying
y = 0

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