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

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