$$ \begin{aligned} -\frac{15}{7} &= y&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]-7\cdot\frac{15}{7} &= 7y&& \text{cancel out the denominators} \\[1 em]-15 &= 7y&& \text{ swap the left and right side of the equation } \\[1 em]7y &= -15&& \text{ divide both sides by $ 7 $ } \\[1 em]y &= -\frac{15}{7}&& \\[1 em] \end{aligned} $$
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