Answer
$y=-1-\frac{3}{4}x$
Work Step by Step
The given equation is $y-4=3x+5y$
Subtract $y$ from both sides of the equation. Then, $y-4-y=3x+5y-y$
$\implies -4=3x+4y$
Subtract $3x$ from both sides of the equation to get
$-4-3x=4y$
Divide both sides of the equation by $4$ to obtain the solution.
$y=\frac{-4-3x}{4}$ Or $y=-1-\frac{3}{4}x$