$$ \begin{aligned} \frac{y+5}{2} &= (y+2)\cdot4&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{y+5}{2} &= 2(y+2)\cdot4&& \text{cancel out the denominators} \\[1 em]y+5 &= 8y+16&& \text{move the $ \color{blue}{ 8y } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]y-8y &= 16-5&& \text{simplify left and right hand side} \\[1 em]-7y &= 11&& \text{ divide both sides by $ -7 $ } \\[1 em]y &= -\frac{11}{7}&& \\[1 em] \end{aligned} $$

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