$$ \begin{aligned} y &= \frac{7}{3}\cdot10+50&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3y &= 3 \cdot \frac{7}{3}\cdot10+3\cdot50&& \text{cancel out the denominators} \\[1 em]3y &= 70+150&& \text{simplify right side} \\[1 em]3y &= 220&& \text{ divide both sides by $ 3 $ } \\[1 em]y &= \frac{220}{3}&& \\[1 em] \end{aligned} $$
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