$$ \begin{aligned} 2-3 \cdot \frac{y}{4} &= 7y+5&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot2-4\cdot3 \cdot \frac{y}{4} &= 4\cdot7y+4\cdot5&& \text{cancel out the denominators} \\[1 em]8-3y &= 28y+20&& \text{move the $ \color{blue}{ 28y } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]-3y-28y &= 20-8&& \text{simplify left and right hand side} \\[1 em]-31y &= 12&& \text{ divide both sides by $ -31 $ } \\[1 em]y &= -\frac{12}{31}&& \\[1 em] \end{aligned} $$

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