Simplify (3y-8)(-x+y)

$(3 y - 8) (- x + y)$

Step 1

Expand $(3 y - 8) (- x + y)$ using the FOIL Method.

Apply the distributive property.

$3 y (- x + y) - 8 (- x + y)$

Apply the distributive property.

$3 y (- x) + 3 y \cdot y - 8 (- x + y)$

Apply the distributive property.

$3 y (- x) + 3 y \cdot y - 8 (- x) - 8 y$

Step 2

Simplify terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 \cdot - 1 y x + 3 y \cdot y - 8 (- x) - 8 y$

Multiply $3$ by $- 1$ .

$- 3 y x + 3 y \cdot y - 8 (- x) - 8 y$

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$- 3 y x + 3 (y \cdot y) - 8 (- x) - 8 y$

Multiply $y$ by $y$ .

$- 3 y x + 3 y^{2} - 8 (- x) - 8 y$

Multiply $- 1$ by $- 8$ .

$- 3 y x + 3 y^{2} + 8 x - 8 y$

Move $y$ .

$- 3 x y + 3 y^{2} + 8 x - 8 y$