Answer
$x=\frac{y-6}{4+r}$, where $r\neq0$.
Work Step by Step
The given equation is
$\Rightarrow y=4x+rx+6$
Subtract $6$ from each side.
$\Rightarrow y-6=4x+rx+6-6$
Simplify.
$\Rightarrow y-6=4x+rx$
Use distributive property.
$\Rightarrow y-6=x(4+r)$
Divide each side by $4+r$.
$\Rightarrow \frac{y-6}{4+r}=\frac{x(4+r)}{4+r}$
Simplify.
$\Rightarrow \frac{y-6}{4+r}=x$
Hence, the rewritten literal equation is $x=\frac{y-6}{4+r}$, where $r\neq0$.
