Question

Solve:

$\frac{1}{y}+\frac{2}{3}=\frac{1}{5}$

Short answer

$y=\frac{-15}{7}$

Step-by-step solution

Step 1. Given information

$\frac{1}{y}+\frac{2}{3}=\frac{1}{5}$

Step 2. Solving the equation by cross multiplication

$$\begin{gathered} \frac{1}{y}+\frac{2}{3}=\frac{1}{5} \\ \frac{3+2y}{3y}=\frac{1}{5} \\ 5(3+2y)=3y \\ 15+10y=3y \\ 7y=-15 \\ y=\frac{-15}{7} \end{gathered}$$