$$ \begin{aligned} y+12 &= 2y-6\cdot\frac{1}{5}&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5y+5\cdot12 &= 5\cdot2y-5\cdot6\cdot\frac{1}{5}&& \text{cancel out the denominators} \\[1 em]5y+60 &= 10y-6&& \text{move the $ \color{blue}{ 10y } $ to the left side and $ \color{blue}{ 60 }$ to the right} \\[1 em]5y-10y &= -6-60&& \text{simplify left and right hand side} \\[1 em]-5y &= -66&& \text{ divide both sides by $ -5 $ } \\[1 em]y &= \frac{-66}{-5}&& \\[1 em]y &= \frac{66}{5}&& \\[1 em] \end{aligned} $$

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