Simplify 14y+2y(6-y)

$14 y + 2 y (6 - y)$

Step 1

Simplify each term.

Apply the distributive property.

$14 y + 2 y \cdot 6 + 2 y (- y)$

Multiply $6$ by $2$ .

$14 y + 12 y + 2 y (- y)$

Rewrite using the commutative property of multiplication.

$14 y + 12 y + 2 \cdot - 1 y \cdot y$

Simplify each term.

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

Move $y$ .

$14 y + 12 y + 2 \cdot - 1 (y \cdot y)$

Multiply $y$ by $y$ .

$14 y + 12 y + 2 \cdot - 1 y^{2}$

Multiply $2$ by $- 1$ .

$14 y + 12 y - 2 y^{2}$

Step 2

Add $14 y$ and $12 y$ .

$26 y - 2 y^{2}$