Simplify 7x(5-y)-3(9x+2)-4xy

$7 x (5 - y) - 3 (9 x + 2) - 4 x y$

Simplify each term.

Apply the distributive property.

$7 x \cdot 5 + 7 x (- y) - 3 (9 x + 2) - 4 x y$

Multiply $5$ by $7$ .

$35 x + 7 x (- y) - 3 (9 x + 2) - 4 x y$

Rewrite using the commutative property of multiplication.

$35 x + 7 \cdot - 1 x y - 3 (9 x + 2) - 4 x y$

Multiply $7$ by $- 1$ .

$35 x - 7 x y - 3 (9 x + 2) - 4 x y$

Apply the distributive property.

$35 x - 7 x y - 3 (9 x) - 3 \cdot 2 - 4 x y$

Multiply $9$ by $- 3$ .

$35 x - 7 x y - 27 x - 3 \cdot 2 - 4 x y$

Multiply $- 3$ by $2$ .

$35 x - 7 x y - 27 x - 6 - 4 x y$

Simplify by adding terms.

Subtract $27 x$ from $35 x$ .

$- 7 x y + 8 x - 6 - 4 x y$

Subtract $4 x y$ from $- 7 x y$ .

$- 11 x y + 8 x - 6$