Answer
$y=2x+3$
Work Step by Step
The given equation is
$\Rightarrow 9x+18=6y-3x$
Add $3x$ to each side.
$\Rightarrow 9x+18+3x=6y-3x+3x$
Simplify.
$\Rightarrow 12x+18=6y$
Divide each side by $6$.
$\Rightarrow \frac{12x+18}{6}=\frac{6y}{6}$
Simplify.
$\Rightarrow 2x+3=y$
Hence, the rewritten literal equation is $y=2x+3$.