Simplify -1/5(10x+y)

$- \frac{1}{5} (10 x + y)$

Step 1

Apply the distributive property.

$- \frac{1}{5} (10 x) - \frac{1}{5} y$

Step 2

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{1}{5}$ into the numerator.

$\frac{- 1}{5} (10 x) - \frac{1}{5} y$

Factor $5$ out of $10 x$ .

$\frac{- 1}{5} (5 (2 x)) - \frac{1}{5} y$

Cancel the common factor.

$\frac{- 1}{5} (5 (2 x)) - \frac{1}{5} y$

Rewrite the expression.

$- 1 (2 x) - \frac{1}{5} y$

Step 3

Multiply $2$ by $- 1$ .

$- 2 x - \frac{1}{5} y$

Step 4

Combine $y$ and $\frac{1}{5}$ .

$- 2 x - \frac{y}{5}$