$$ \begin{aligned} 5 \cdot \frac{y}{3}-2y &= \frac{24}{5}&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15\cdot5 \cdot \frac{y}{3}-15\cdot2y &= 15\cdot\frac{24}{5}&& \text{cancel out the denominators} \\[1 em]25y-30y &= 72&& \text{simplify left side} \\[1 em]-5y &= 72&& \text{ divide both sides by $ -5 $ } \\[1 em]y &= -\frac{72}{5}&& \\[1 em] \end{aligned} $$

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