$$ \begin{aligned} y &= -\frac{1}{3}+\frac{7}{3}&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3y &= -3\cdot\frac{1}{3}+3\cdot\frac{7}{3}&& \text{cancel out the denominators} \\[1 em]3y &= -1+7&& \text{simplify right side} \\[1 em]3y &= 6&& \text{ divide both sides by $ 3 $ } \\[1 em]y &= \frac{6}{3}&& \\[1 em]y &= 2&& \\[1 em] \end{aligned} $$

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