#### Answer

$y=2$

#### Work Step by Step

$\frac{y}{3}-\frac{y}{4}=\frac{1}{6}$
The common denominator for all three fractions is $12$, so multiply the entire equation by $12$
$(12)(\frac{y}{3})-(12)(\frac{y}{4})=(12)(\frac{1}{6})$
Simplify
$4y-3y=2$
Combine like terms
$y=2$