Answer
$x=\frac{y+9}{1+2w}$, where $w\neq0$.
Work Step by Step
The given equation is
$\Rightarrow x-9+2wx=y$
Add $9$ to each side.
$\Rightarrow x-9+2wx+9=y+9$
Simplify.
$\Rightarrow x+2wx=y+9$
Use distributive property.
$\Rightarrow x(1+2w)=y+9$
Divide each side by $1+2w$.
$\Rightarrow \frac{x(1+2w)}{1+2w}=\frac{y+9}{1+2w}$
Simplify.
$\Rightarrow x=\frac{y+9}{1+2w}$
Hence, the rewritten literal equation is $x=\frac{y+9}{1+2w}$, where $w\neq0$.