To solve the equation \(-\frac{4}{7}y = \frac{7}{8}\), we can isolate \(y\) by following these steps:
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Multiply both sides by -1 to eliminate the negative sign:
\[ \frac{4}{7}y = -\frac{7}{8} \]
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Multiply both sides by the reciprocal of \(\frac{4}{7}\), which is \(\frac{7}{4}\):
\[ y = -\frac{7}{8} \cdot \frac{7}{4} \]
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Multiply the fractions:
\[ y = -\frac{7 \cdot 7}{8 \cdot 4} = -\frac{49}{32} \]
So, the solution is:
\[ y = -\frac{49}{32} \]