Solve the Inequality for y 5>-2/-5y-3

$5 > \frac{- 2}{- 5} y - 3$

Step 1

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

$\frac{- 2}{- 5} y - 3 < 5$

Step 2

Simplify each term.

Dividing two negative values results in a positive value.

$\frac{2}{5} y - 3 < 5$

Combine $\frac{2}{5}$ and $y$ .

$\frac{2 y}{5} - 3 < 5$

Step 3

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

Add $3$ to both sides of the inequality.

$\frac{2 y}{5} < 5 + 3$

Add $5$ and $3$ .

$\frac{2 y}{5} < 8$

Step 4

Multiply both sides by $5$ .

$\frac{2 y}{5} \cdot 5 < 8 \cdot 5$

Step 5

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{2 y}{5} \cdot 5 < 8 \cdot 5$

Rewrite the expression.

$2 y < 8 \cdot 5$

Simplify the right side.

Multiply $8$ by $5$ .

$2 y < 40$

Step 6

Divide each term in $2 y < 40$ by $2$ and simplify.

Divide each term in $2 y < 40$ by $2$ .

$\frac{2 y}{2} < \frac{40}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} < \frac{40}{2}$

Divide $y$ by $1$ .

$y < \frac{40}{2}$

Simplify the right side.

Divide $40$ by $2$ .

$y < 20$

Step 7

The result can be shown in multiple forms.

Inequality Form:

$y < 20$

Interval Notation:

$(- \infty, 20)$

Solve the Inequality for y 5>-2/-5y-3

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