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

$y - 4 = 3 x + 5 y$

Move all terms containing $y$ to the left side of the equation.

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

$y - 4 - 5 y = 3 x$

Subtract $5 y$ from $y$ .

$- 4 y - 4 = 3 x$

Add $4$ to both sides of the equation.

$- 4 y = 3 x + 4$

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 $- 4$ .

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