Solve for y -18-5y>=52

$- 18 - 5 y \geq 52$

Step 1

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

Add $18$ to both sides of the inequality.

$- 5 y \geq 52 + 18$

Add $52$ and $18$ .

$- 5 y \geq 70$

Step 2

Divide each term in $- 5 y \geq 70$ by $- 5$ and simplify.

Divide each term in $- 5 y \geq 70$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 y}{- 5} \leq \frac{70}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} \leq \frac{70}{- 5}$

Divide $y$ by $1$ .

$y \leq \frac{70}{- 5}$

Simplify the right side.

Divide $70$ by $- 5$ .

$y \leq - 14$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$y \leq - 14$

Interval Notation:

$(- \infty, - 14]$

Solve for y -18-5y>=52

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