$$ \begin{aligned} q+\frac{8}{3} &= 4&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3q+3\cdot\frac{8}{3} &= 3\cdot4&& \text{cancel out the denominators} \\[1 em]3q+8 &= 12&& \text{ move 8 to the right } \\[1 em]3q &= 12-8&& \\[1 em]3q &= 4&& \text{ divide both sides by $ 3 $ } \\[1 em]q &= \frac{4}{3}&& \\[1 em] \end{aligned} $$

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