$$ \begin{aligned} \frac{4}{3}y-8 &= 2&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{4}{3}y-3\cdot8 &= 3\cdot2&& \text{cancel out the denominators} \\[1 em]4y-24 &= 6&& \text{ move -24 to the right } \\[1 em]4y &= 6+24&& \\[1 em]4y &= 30&& \text{ divide both sides by $ 4 $ } \\[1 em]y &= \frac{30}{4}&& \\[1 em]y &= \frac{15}{2}&& \\[1 em] \end{aligned} $$
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