Graph -6>-2/3y

$- 6 > - \frac{2}{3} y$

Step 1

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

$- \frac{2}{3} y < - 6$

Step 2

Multiply each term in $- \frac{2}{3} y < - 6$ by $- \frac{3}{2}$ to eliminate the fractions.

Multiply each term in $- \frac{2}{3} y < - 6$ by $- \frac{3}{2}$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$- \frac{2}{3} y (- \frac{3}{2}) > - 6 (- \frac{3}{2})$

Simplify the left side.

Combine $y$ and $\frac{2}{3}$ .

$- \frac{y \cdot 2}{3} (- \frac{3}{2}) > - 6 (- \frac{3}{2})$

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{y \cdot 2}{3}$ into the numerator.

$\frac{- y \cdot 2}{3} (- \frac{3}{2}) > - 6 (- \frac{3}{2})$

Move the leading negative in $- \frac{3}{2}$ into the numerator.

$\frac{- y \cdot 2}{3} \cdot \frac{- 3}{2} > - 6 (- \frac{3}{2})$

Factor $2$ out of $- y \cdot 2$ .

$\frac{2 \cdot (- y)}{3} \cdot \frac{- 3}{2} > - 6 (- \frac{3}{2})$

Cancel the common factor.

$\frac{2 \cdot (- y)}{3} \cdot \frac{- 3}{2} > - 6 (- \frac{3}{2})$

Rewrite the expression.

$\frac{- y}{3} \cdot - 3 > - 6 (- \frac{3}{2})$

Cancel the common factor of $3$ .

Factor $3$ out of $- 3$ .

$\frac{- y}{3} \cdot (3 (- 1)) > - 6 (- \frac{3}{2})$

Cancel the common factor.

$\frac{- y}{3} \cdot (3 \cdot - 1) > - 6 (- \frac{3}{2})$

Rewrite the expression.

$- y \cdot - 1 > - 6 (- \frac{3}{2})$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 y > - 6 (- \frac{3}{2})$

Multiply $y$ by $1$ .

$y > - 6 (- \frac{3}{2})$

Simplify the right side.

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{3}{2}$ into the numerator.

$y > - 6 (\frac{- 3}{2})$

Factor $2$ out of $- 6$ .

$y > 2 (- 3) \frac{- 3}{2}$

Cancel the common factor.

$y > 2 \cdot - 3 \frac{- 3}{2}$

Rewrite the expression.

$y > - 3 \cdot - 3$

Multiply $- 3$ by $- 3$ .

$y > 9$

Step 3

Graph -6>-2/3y

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