$$ \begin{aligned} 2\cdot\frac{2}{3}-y &= 1&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot2\cdot\frac{2}{3}-3y &= 3\cdot1&& \text{cancel out the denominators} \\[1 em]4-3y &= 3&& \text{ move 4 to the right } \\[1 em]-3y &= 3-4&& \\[1 em]-3y &= -1&& \text{ divide both sides by $ -3 $ } \\[1 em]y &= \frac{-1}{-3}&& \\[1 em]y &= \frac{1}{3}&& \\[1 em] \end{aligned} $$

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