Answer
$ \displaystyle y=\frac{21}{11}$
Work Step by Step
$\displaystyle \frac{2}{3}y+\frac{1}{2}(y-3)=\frac{y+1}{4}$
We multiply by 12:
$8y+6(y-3)=3(y+1)$
And distribute:
$8y+6y-18=3y+3$
And simplify:
$14y-18=3y+3$
And combine $y$ terms:
$11y=21$
And solve for $y$:
$ \displaystyle y=\frac{21}{11}$
