Evaluate 8x+16y>32

$8 x + 16 y > 32$

Subtract $16 y$ from both sides of the inequality.

$8 x > 32 - 16 y$

Divide each term in $8 x > 32 - 16 y$ by $8$ and simplify.

Divide each term in $8 x > 32 - 16 y$ by $8$ .

$\frac{8 x}{8} > \frac{32}{8} + \frac{- 16 y}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} > \frac{32}{8} + \frac{- 16 y}{8}$

Divide $x$ by $1$ .

$x > \frac{32}{8} + \frac{- 16 y}{8}$

Simplify the right side.

Simplify each term.

Divide $32$ by $8$ .

$x > 4 + \frac{- 16 y}{8}$

Cancel the common factor of $- 16$ and $8$ .

Factor $8$ out of $- 16 y$ .

$x > 4 + \frac{8 (- 2 y)}{8}$

Cancel the common factors.

Factor $8$ out of $8$ .

$x > 4 + \frac{8 (- 2 y)}{8 (1)}$

Cancel the common factor.

$x > 4 + \frac{8 (- 2 y)}{8 \cdot 1}$

Rewrite the expression.

$x > 4 + \frac{- 2 y}{1}$

Divide $- 2 y$ by $1$ .

$x > 4 - 2 y$