Solve for y 9x-4y=16

$9 x - 4 y = 16$

Step 1

Subtract $9 x$ from both sides of the equation.

$- 4 y = 16 - 9 x$

Step 2

Divide each term in $- 4 y = 16 - 9 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = 16 - 9 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{16}{- 4} + \frac{- 9 x}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{16}{- 4} + \frac{- 9 x}{- 4}$

Divide $y$ by $1$ .

$y = \frac{16}{- 4} + \frac{- 9 x}{- 4}$

Simplify the right side.

Simplify each term.

Divide $16$ by $- 4$ .

$y = - 4 + \frac{- 9 x}{- 4}$

Dividing two negative values results in a positive value.

$y = - 4 + \frac{9 x}{4}$