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

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

Step 1

Simplify each term.

Apply the distributive property.

$x + y - y - - x$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$x + y - y + 1 x$

Multiply $x$ by $1$ .

$x + y - y + x$

$x + y - y + x$

$x + y - y + x$

Step 2

Simplify by adding terms.

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

Subtract $y$ from $y$ .

$x + 0 + x$

Add $x$ and $0$ .

$x + x$

$x + x$

Add $x$ and $x$ .

$2 x$

$2 x$

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