Simplify (x+10y)-(x+5y)

$(x + 10 y) - (x + 5 y)$

Step 1

Simplify each term.

Apply the distributive property.

$x + 10 y - x - (5 y)$

Multiply $5$ by $- 1$ .

$x + 10 y - x - 5 y$

Step 2

Simplify by adding terms.

Combine the opposite terms in $x + 10 y - x - 5 y$ .

Subtract $x$ from $x$ .

$10 y + 0 - 5 y$

Add $10 y$ and $0$ .

$10 y - 5 y$

Subtract $5 y$ from $10 y$ .

$5 y$