Solve for y -325/y=13

$- \frac{325}{y} = 13$

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 $- \frac{325}{y} = 13$ by $y$ to eliminate the fractions.

Multiply each term in $- \frac{325}{y} = 13$ by $y$ .

$- \frac{325}{y} y = 13 y$

Simplify the left side.

Cancel the common factor of $y$ .

Move the leading negative in $- \frac{325}{y}$ into the numerator.

$\frac{- 325}{y} y = 13 y$

Cancel the common factor.

$\frac{- 325}{y} y = 13 y$

Rewrite the expression.

$- 325 = 13 y$

Step 3

Solve the equation.

Rewrite the equation as $13 y = - 325$ .

$13 y = - 325$

Divide each term in $13 y = - 325$ by $13$ and simplify.

Divide each term in $13 y = - 325$ by $13$ .

$\frac{13 y}{13} = \frac{- 325}{13}$

Simplify the left side.

Cancel the common factor of $13$ .

Cancel the common factor.

$\frac{13 y}{13} = \frac{- 325}{13}$

Divide $y$ by $1$ .

$y = \frac{- 325}{13}$

Simplify the right side.

Divide $- 325$ by $13$ .

$y = - 25$