$$ \begin{aligned} \frac{5}{2}y+y+5 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{5}{2}y+2y+2\cdot5 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]5y+2y+10 &= 0&& \text{simplify left side} \\[1 em]7y+10 &= 0&& \text{ move the constants to the right } \\[1 em]7y &= -10&& \text{ divide both sides by $ 7 $ } \\[1 em]y &= -\frac{10}{7}&& \\[1 em] \end{aligned} $$

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