$$ \begin{aligned} 3+\frac{18}{y} &= 12&& \text{multiply ALL terms by } \color{blue}{ y }. \\[1 em]y\cdot3+y\cdot\frac{18}{y} &= y\cdot12&& \text{cancel out the denominators} \\[1 em]3y+18 &= 12y&& \text{move the $ \color{blue}{ 12y } $ to the left side and $ \color{blue}{ 18 }$ to the right} \\[1 em]3y-12y &= -18&& \text{simplify left side} \\[1 em]-9y &= -18&& \text{ divide both sides by $ -9 $ } \\[1 em]y &= \frac{-18}{-9}&& \\[1 em]y &= 2&& \\[1 em] \end{aligned} $$

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