$$ \begin{aligned} -3y+\frac{2}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]-5\cdot3y+5\cdot\frac{2}{5} &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]-15y+2 &= 0&& \text{ move the constants to the right } \\[1 em]-15y &= -2&& \text{ divide both sides by $ -15 $ } \\[1 em]y &= \frac{-2}{-15}&& \\[1 em]y &= \frac{2}{15}&& \\[1 em] \end{aligned} $$

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