$$ \begin{aligned} \frac{7}{18} &= \frac{5}{6}y&& \text{multiply ALL terms by } \color{blue}{ 18 }. \\[1 em]18\cdot\frac{7}{18} &= 18 \cdot \frac{5}{6}y&& \text{cancel out the denominators} \\[1 em]7 &= 15y&& \text{ swap the left and right side of the equation } \\[1 em]15y &= 7&& \text{ divide both sides by $ 15 $ } \\[1 em]y &= \frac{7}{15}&& \\[1 em] \end{aligned} $$

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