Solve for y 3x+5=9-4y

$3 x + 5 = 9 - 4 y$

Step 1

Rewrite the equation as $9 - 4 y = 3 x + 5$ .

$9 - 4 y = 3 x + 5$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Subtract $9$ from both sides of the equation.

$- 4 y = 3 x + 5 - 9$

Subtract $9$ from $5$ .

$- 4 y = 3 x - 4$

Step 3

Divide each term in $- 4 y = 3 x - 4$ by $- 4$ and simplify.

Divide each term in $- 4 y = 3 x - 4$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{3 x}{- 4} + \frac{- 4}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{3 x}{- 4} + \frac{- 4}{- 4}$

Divide $y$ by $1$ .

$y = \frac{3 x}{- 4} + \frac{- 4}{- 4}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{3 x}{4} + \frac{- 4}{- 4}$

Divide $- 4$ by $- 4$ .

$y = - \frac{3 x}{4} + 1$