Answer
y = 2.727 = 2$\frac{8}{11}$
Work Step by Step
$\frac{4}{y}$ - $\frac{5}{3}$ = $\frac{-1}{5}$
LCD (Least Common Denominator = 3y.....(3 $\times$ y = 3y, Since nothing is common between 3 and y)
Thus,
$\frac{4(3) - 5(y)}{3(y)}$ = $\frac{12 - 5y}{3y}$.
Since $\frac{12 - 5y}{3y}$ = $\frac{-1}{5}$,
we cross multiply to get
5(12 - 5y) = 3y(-1)
60 - 25y = -3y.
Adding 25y on both sides gives
60 - 25y + 25y = -3y + 25y.
Thus.
60 = 22y
$\frac{60}{22}$ = $\frac{22y}{22}$ ...(Dividing both sides by 22).
Thus,
y = $\frac{60}{22}$ = 2.727
