$$ \begin{aligned} \frac{5}{6}y+\frac{1}{3} &= \frac{7}{6}y&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{5}{6}y+6\cdot\frac{1}{3} &= 6 \cdot \frac{7}{6}y&& \text{cancel out the denominators} \\[1 em]5y+2 &= 7y&& \text{move the $ \color{blue}{ 7y } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]5y-7y &= -2&& \text{simplify left side} \\[1 em]-2y &= -2&& \text{ divide both sides by $ -2 $ } \\[1 em]y &= \frac{-2}{-2}&& \\[1 em]y &= 1&& \\[1 em] \end{aligned} $$

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