Simplify 4x(2y)+3y(2-x)

$4 x (2 y) + 3 y (2 - x)$

Simplify each term.

Rewrite using the commutative property of multiplication.

$4 \cdot 2 x y + 3 y (2 - x)$

Multiply $4$ by $2$ .

$8 x y + 3 y (2 - x)$

Apply the distributive property.

$8 x y + 3 y \cdot 2 + 3 y (- x)$

Multiply $2$ by $3$ .

$8 x y + 6 y + 3 y (- x)$

Rewrite using the commutative property of multiplication.

$8 x y + 6 y + 3 \cdot - 1 y x$

Multiply $3$ by $- 1$ .

$8 x y + 6 y - 3 y x$

Subtract $3 y x$ from $8 x y$ .

Move $y$ .

$8 x y - 3 x y + 6 y$

Subtract $3 x y$ from $8 x y$ .

$5 x y + 6 y$