$$ \begin{aligned} \frac{2}{3}(y+57) &= 178&& \text{simplify left side} \\[1 em]\frac{2y+114}{3} &= 178&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2y+114}{3} &= 3\cdot178&& \text{cancel out the denominators} \\[1 em]2y+114 &= 534&& \text{ move 114 to the right } \\[1 em]2y &= 534-114&& \\[1 em]2y &= 420&& \text{ divide both sides by $ 2 $ } \\[1 em]y &= \frac{420}{2}&& \\[1 em]y &= 210&& \\[1 em] \end{aligned} $$

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