$$ \begin{aligned} \frac{53}{10}y+12 &= 33&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{53}{10}y+10\cdot12 &= 10\cdot33&& \text{cancel out the denominators} \\[1 em]53y+120 &= 330&& \text{ move 120 to the right } \\[1 em]53y &= 330-120&& \\[1 em]53y &= 210&& \text{ divide both sides by $ 53 $ } \\[1 em]y &= \frac{210}{53}&& \\[1 em] \end{aligned} $$

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