$$ \begin{aligned} \frac{1}{2}\cdot1 &= \frac{2}{3}y&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{1}{2}\cdot1 &= 6 \cdot \frac{2}{3}y&& \text{cancel out the denominators} \\[1 em]3 &= 4y&& \text{ swap the left and right side of the equation } \\[1 em]4y &= 3&& \text{ divide both sides by $ 4 $ } \\[1 em]y &= \frac{3}{4}&& \\[1 em] \end{aligned} $$

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