Question
$$-\frac{4}{7}y = \frac{7}{8}$$
Answer
$$ y = -\dfrac{49}{32} $$
Explanation
$$ \begin{aligned} -\frac{4}{7}y &= \frac{7}{8}&& \text{multiply ALL terms by } \color{blue}{ 56 }. \\[1 em]-56 \cdot \frac{4}{7}y &= 56\cdot\frac{7}{8}&& \text{cancel out the denominators} \\[1 em]-32y &= 49&& \text{ divide both sides by $ -32 $ } \\[1 em]y &= -\frac{49}{32}&& \\[1 em] \end{aligned} $$
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