Simplify -3/8(-4y+z)

$- \frac{3}{8} (- 4 y + z)$

Step 1

Simplify terms.

Apply the distributive property.

$- \frac{3}{8} (- 4 y) - \frac{3}{8} z$

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{3}{8}$ into the numerator.

$\frac{- 3}{8} (- 4 y) - \frac{3}{8} z$

Factor $4$ out of $8$ .

$\frac{- 3}{4 (2)} (- 4 y) - \frac{3}{8} z$

Factor $4$ out of $- 4 y$ .

$\frac{- 3}{4 (2)} (4 (- y)) - \frac{3}{8} z$

Cancel the common factor.

$\frac{- 3}{4 \cdot 2} (4 (- y)) - \frac{3}{8} z$

Rewrite the expression.

$\frac{- 3}{2} (- y) - \frac{3}{8} z$

$\frac{- 3}{2} (- y) - \frac{3}{8} z$

Combine $\frac{- 3}{2}$ and $y$ .

$- \frac{- 3 y}{2} - \frac{3}{8} z$

Combine $z$ and $\frac{3}{8}$ .

$- \frac{- 3 y}{2} - \frac{z \cdot 3}{8}$

$- \frac{- 3 y}{2} - \frac{z \cdot 3}{8}$

Step 2

Simplify each term.

Move the negative in front of the fraction.

$- - \frac{(3) y}{2} - \frac{z \cdot 3}{8}$

Multiply $- - \frac{3 y}{2}$ .

Multiply $- 1$ by $- 1$ .

$1 \frac{3 y}{2} - \frac{z \cdot 3}{8}$

Multiply $\frac{3 y}{2}$ by $1$ .

$\frac{3 y}{2} - \frac{z \cdot 3}{8}$

$\frac{3 y}{2} - \frac{z \cdot 3}{8}$

Move $3$ to the left of $z$ .

$\frac{3 y}{2} - \frac{3 z}{8}$

$\frac{3 y}{2} - \frac{3 z}{8}$

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