$$ \begin{aligned} \frac{y}{6}-3 &= 45&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{y}{6}-6\cdot3 &= 6\cdot45&& \text{cancel out the denominators} \\[1 em]y-18 &= 270&& \text{ move -18 to the right } \\[1 em]y &= 270+18&& \\[1 em]y &= 288&& \\[1 em]y &= 288&& \\[1 em] \end{aligned} $$
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