$$ \begin{aligned} \frac{7}{y} &= \frac{6}{\frac{9}{2}}&& \text{multiply ALL terms by } \color{blue}{ y\cdot\frac{9}{2}\cdot2 }. \\[1 em]y\cdot\frac{9}{2}\cdot2\cdot\frac{7}{y} &= y\cdot\frac{9}{2}\cdot2\cdot\frac{6}{\frac{9}{2}}&& \text{cancel out the denominators} \\[1 em]63 &= 3y&& \text{ swap the left and right side of the equation } \\[1 em]3y &= 63&& \text{ divide both sides by $ 3 $ } \\[1 em]y &= \frac{63}{3}&& \\[1 em]y &= 21&& \\[1 em] \end{aligned} $$

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