Solve the Inequality for y 32>-2y

$32 > - 2 y$

Step 1

Rewrite so $y$ is on the left side of the inequality.

$- 2 y < 32$

Step 2

Divide each term in $- 2 y < 32$ by $- 2$ and simplify.

Divide each term in $- 2 y < 32$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 y}{- 2} > \frac{32}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} > \frac{32}{- 2}$

Divide $y$ by $1$ .

$y > \frac{32}{- 2}$

Simplify the right side.

Divide $32$ by $- 2$ .

$y > - 16$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$y > - 16$

Interval Notation:

$(- 16, \infty)$

Solve the Inequality for y 32>-2y

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