$$ \begin{aligned} \frac{5}{6}a+\frac{1}{3} &= \frac{1}{6}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{5}{6}a+6\cdot\frac{1}{3} &= 6\cdot\frac{1}{6}&& \text{cancel out the denominators} \\[1 em]5a+2 &= 1&& \text{ move 2 to the right } \\[1 em]5a &= 1-2&& \\[1 em]5a &= -1&& \text{ divide both sides by $ 5 $ } \\[1 em]a &= -\frac{1}{5}&& \\[1 em] \end{aligned} $$

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