$$ \begin{aligned} -6-\frac{4}{5}y &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]-5\cdot6-5 \cdot \frac{4}{5}y &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]-30-4y &= 0&& \text{ move the constants to the right } \\[1 em]-4y &= 30&& \text{ divide both sides by $ -4 $ } \\[1 em]y &= -\frac{30}{4}&& \\[1 em]y &= -\frac{15}{2}&& \\[1 em] \end{aligned} $$
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