Evaluate (3y-4)(2y+7)+11y-9

$(3 y - 4) (2 y + 7) + 11 y - 9$

Step 1

Simplify each term.

Expand $(3 y - 4) (2 y + 7)$ using the FOIL Method.

Apply the distributive property.

$3 y (2 y + 7) - 4 (2 y + 7) + 11 y - 9$

Apply the distributive property.

$3 y (2 y) + 3 y \cdot 7 - 4 (2 y + 7) + 11 y - 9$

Apply the distributive property.

$3 y (2 y) + 3 y \cdot 7 - 4 (2 y) - 4 \cdot 7 + 11 y - 9$

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$3 \cdot 2 y \cdot y + 3 y \cdot 7 - 4 (2 y) - 4 \cdot 7 + 11 y - 9$

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

Move $y$ .

$3 \cdot 2 (y \cdot y) + 3 y \cdot 7 - 4 (2 y) - 4 \cdot 7 + 11 y - 9$

Multiply $y$ by $y$ .

$3 \cdot 2 y^{2} + 3 y \cdot 7 - 4 (2 y) - 4 \cdot 7 + 11 y - 9$

Multiply $3$ by $2$ .

$6 y^{2} + 3 y \cdot 7 - 4 (2 y) - 4 \cdot 7 + 11 y - 9$

Multiply $7$ by $3$ .

$6 y^{2} + 21 y - 4 (2 y) - 4 \cdot 7 + 11 y - 9$

Multiply $2$ by $- 4$ .

$6 y^{2} + 21 y - 8 y - 4 \cdot 7 + 11 y - 9$

Multiply $- 4$ by $7$ .

$6 y^{2} + 21 y - 8 y - 28 + 11 y - 9$

Subtract $8 y$ from $21 y$ .

$6 y^{2} + 13 y - 28 + 11 y - 9$

Step 2

Simplify by adding terms.

Add $13 y$ and $11 y$ .

$6 y^{2} + 24 y - 28 - 9$

Subtract $9$ from $- 28$ .

$6 y^{2} + 24 y - 37$