Solve the Inequality for y y/-3+17>12

$\frac{y}{- 3} + 17 > 12$

Move the negative in front of the fraction.

$- \frac{y}{3} + 17 > 12$

Move all terms not containing $y$ to the right side of the inequality.

Subtract $17$ from both sides of the inequality.

$- \frac{y}{3} > 12 - 17$

Subtract $17$ from $12$ .

$- \frac{y}{3} > - 5$

Divide each term in $- \frac{y}{3} > - 5$ by $- 1$ and simplify.

Divide each term in $- \frac{y}{3} > - 5$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{y}{3}}{- 1} < \frac{- 5}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{y}{3}}{1} < \frac{- 5}{- 1}$

Divide $\frac{y}{3}$ by $1$ .

$\frac{y}{3} < \frac{- 5}{- 1}$

Simplify the right side.

Divide $- 5$ by $- 1$ .

$\frac{y}{3} < 5$

Multiply both sides by $3$ .

$\frac{y}{3} \cdot 3 < 5 \cdot 3$

Simplify.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{y}{3} \cdot 3 < 5 \cdot 3$

Rewrite the expression.

$y < 5 \cdot 3$

Simplify the right side.

Multiply $5$ by $3$ .

$y < 15$

The result can be shown in multiple forms.

Inequality Form:

$y < 15$

Interval Notation:

$(- \infty, 15)$

Solve the Inequality for y y/-3+17>12

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