$$ \begin{aligned} y &= -\frac{2}{3}+4y&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3y &= -3\cdot\frac{2}{3}+3\cdot4y&& \text{cancel out the denominators} \\[1 em]3y &= -2+12y&& \text{move the $ \color{blue}{ 12y } $ to the left side} \\[1 em]3y-12y &= -2&& \text{simplify left side} \\[1 em]-9y &= -2&& \text{ divide both sides by $ -9 $ } \\[1 em]y &= \frac{-2}{-9}&& \\[1 em]y &= \frac{2}{9}&& \\[1 em] \end{aligned} $$

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