$$ \begin{aligned} \frac{5}{6}-\frac{3}{8}y &= \frac{2}{3}&& \text{multiply ALL terms by } \color{blue}{ 24 }. \\[1 em]24\cdot\frac{5}{6}-24\frac{3}{8}y &= 24\cdot\frac{2}{3}&& \text{cancel out the denominators} \\[1 em]20-9y &= 16&& \text{ move 20 to the right } \\[1 em]-9y &= 16-20&& \\[1 em]-9y &= -4&& \text{ divide both sides by $ -9 $ } \\[1 em]y &= \frac{-4}{-9}&& \\[1 em]y &= \frac{4}{9}&& \\[1 em] \end{aligned} $$

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