$$ \begin{aligned} 2 \cdot \frac{y}{3}-5 &= \frac{1}{2}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot2 \cdot \frac{y}{3}-6\cdot5 &= 6\cdot\frac{1}{2}&& \text{cancel out the denominators} \\[1 em]4y-30 &= 3&& \text{ move -30 to the right } \\[1 em]4y &= 3+30&& \\[1 em]4y &= 33&& \text{ divide both sides by $ 4 $ } \\[1 em]y &= \frac{33}{4}&& \\[1 em] \end{aligned} $$
This page was created using
Equations Solver