$$ \begin{aligned} \frac{18}{y}+6 &= 11&& \text{multiply ALL terms by } \color{blue}{ y }. \\[1 em]y\cdot\frac{18}{y}+y\cdot6 &= y\cdot11&& \text{cancel out the denominators} \\[1 em]18+6y &= 11y&& \text{move the $ \color{blue}{ 11y } $ to the left side and $ \color{blue}{ 18 }$ to the right} \\[1 em]6y-11y &= -18&& \text{simplify left side} \\[1 em]-5y &= -18&& \text{ divide both sides by $ -5 $ } \\[1 em]y &= \frac{-18}{-5}&& \\[1 em]y &= \frac{18}{5}&& \\[1 em] \end{aligned} $$

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