Solve for y 1/5y>-2

$\frac{1}{5} y > - 2$

Step 1

Multiply each term in $\frac{1}{5} y > - 2$ by $5$ .

$\frac{1}{5} y \cdot 5 > - 2 \cdot 5$

Step 2

Simplify the left side.

Combine $\frac{1}{5}$ and $y$ .

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

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$y > - 2 \cdot 5$

Step 3

Simplify the right side.

Multiply $- 2$ by $5$ .

$y > - 10$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$y > - 10$

Interval Notation:

$(- 10, \infty)$