$$\frac{v}{5}-\frac{17}{20} = \frac{v}{4}$$

$$ \begin{aligned} \frac{v}{5}-\frac{17}{20} &= \frac{v}{4}&& \text{multiply ALL terms by } \color{blue}{ 20 }. \\[1 em]20 \cdot \frac{v}{5}-20\cdot\frac{17}{20} &= 20 \cdot \frac{v}{4}&& \text{cancel out the denominators} \\[1 em]4v-17 &= 5v&& \text{move the $ \color{blue}{ 5v } $ to the left side and $ \color{blue}{ -17 }$ to the right} \\[1 em]4v-5v &= 17&& \text{simplify left side} \\[1 em]-v &= 17&& \text{switch signs on both sides} \\[1 em]v &= -17&& \\[1 em] \end{aligned} $$

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