Simplify (x+y)-(x+y)

$(x + y) - (x + y)$

Apply the distributive property.

$x + y - x - y$

Combine the opposite terms in $x + y - x - y$ .

Subtract $x$ from $x$ .

$y + 0 - y$

Add $y$ and $0$ .

$y - y$

Subtract $y$ from $y$ .

$0$

$0$

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