$$ \begin{aligned} 5y+13(y+11) &= 15(y-8)+7&& \text{simplify left and right hand side} \\[1 em]5y+13y+143 &= 15y-120+7&& \\[1 em]18y+143 &= 15y-113&& \text{move the $ \color{blue}{ 15y } $ to the left side and $ \color{blue}{ 143 }$ to the right} \\[1 em]18y-15y &= -113-143&& \text{simplify left and right hand side} \\[1 em]3y &= -256&& \text{ divide both sides by $ 3 $ } \\[1 em]y &= -\frac{256}{3}&& \\[1 em] \end{aligned} $$

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