Solve for y 5x+9y=45

$5 x + 9 y = 45$

Step 1

Subtract $5 x$ from both sides of the equation.

$9 y = 45 - 5 x$

Step 2

Divide each term in $9 y = 45 - 5 x$ by $9$ and simplify.

Divide each term in $9 y = 45 - 5 x$ by $9$ .

$\frac{9 y}{9} = \frac{45}{9} + \frac{- 5 x}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{45}{9} + \frac{- 5 x}{9}$

Divide $y$ by $1$ .

$y = \frac{45}{9} + \frac{- 5 x}{9}$

Simplify the right side.

Simplify each term.

Divide $45$ by $9$ .

$y = 5 + \frac{- 5 x}{9}$

Move the negative in front of the fraction.

$y = 5 - \frac{5 x}{9}$