Solve for y -180/y=15

$- \frac{180}{y} = 15$

Step 1

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$y, 1$

The LCM of one and any expression is the expression.

$y$

Step 2

Multiply each term in $- \frac{180}{y} = 15$ by $y$ to eliminate the fractions.

Multiply each term in $- \frac{180}{y} = 15$ by $y$ .

$- \frac{180}{y} y = 15 y$

Simplify the left side.

Cancel the common factor of $y$ .

Move the leading negative in $- \frac{180}{y}$ into the numerator.

$\frac{- 180}{y} y = 15 y$

Cancel the common factor.

$\frac{- 180}{y} y = 15 y$

Rewrite the expression.

$- 180 = 15 y$

Step 3

Solve the equation.

Rewrite the equation as $15 y = - 180$ .

$15 y = - 180$

Divide each term in $15 y = - 180$ by $15$ and simplify.

Divide each term in $15 y = - 180$ by $15$ .

$\frac{15 y}{15} = \frac{- 180}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 y}{15} = \frac{- 180}{15}$

Divide $y$ by $1$ .

$y = \frac{- 180}{15}$

Simplify the right side.

Divide $- 180$ by $15$ .

$y = - 12$