Answer
$y=18x+12$.
Work Step by Step
The given equation is
$\Rightarrow 2+\frac{1}{6}y=3x+4$
Subtract $2$ from each side.
$\Rightarrow 2+\frac{1}{6}y-2=3x+4-2$
Simplify.
$\Rightarrow \frac{1}{6}y=3x+2$
Multiply each side by $6$.
$\Rightarrow 6\cdot \frac{1}{6}y=6\cdot (3x+2)$
Simplify.
$\Rightarrow y=18x+12$
Hence, the rewritten literal equation is $y=18x+12$.