Simplify 6y(4y*2-9y-7)

$6 y (4 y \cdot 2 - 9 y - 7)$

Step 1

Simplify terms.

Multiply $2$ by $4$ .

$6 y (8 y - 9 y - 7)$

Subtract $9 y$ from $8 y$ .

$6 y (- y - 7)$

Apply the distributive property.

$6 y (- y) + 6 y \cdot - 7$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$6 \cdot - 1 y \cdot y + 6 y \cdot - 7$

Multiply $- 7$ by $6$ .

$6 \cdot - 1 y \cdot y - 42 y$

Step 2

Simplify each term.

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

Move $y$ .

$6 \cdot - 1 (y \cdot y) - 42 y$

Multiply $y$ by $y$ .

$6 \cdot - 1 y^{2} - 42 y$

Multiply $6$ by $- 1$ .

$- 6 y^{2} - 42 y$