$$ \begin{aligned} y+\frac{4}{5} &= \frac{2}{7}&& \text{multiply ALL terms by } \color{blue}{ 35 }. \\[1 em]35y+35\cdot\frac{4}{5} &= 35\cdot\frac{2}{7}&& \text{cancel out the denominators} \\[1 em]35y+28 &= 10&& \text{ move 28 to the right } \\[1 em]35y &= 10-28&& \\[1 em]35y &= -18&& \text{ divide both sides by $ 35 $ } \\[1 em]y &= -\frac{18}{35}&& \\[1 em] \end{aligned} $$

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