To solve the equation \(-\frac{5}{8}y = \frac{25}{16}\), follow these steps:
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Multiply both sides by \(-\frac{8}{5}\) to isolate \(y\):
\[ y = \left(\frac{25}{16}\right) \left(-\frac{8}{5}\right) \]
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Calculate the right side:
\[ y = -\frac{25 \times 8}{16 \times 5} = -\frac{200}{80} \]
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Simplify the fraction:
\[ y = -\frac{200 \div 40}{80 \div 40} = -\frac{5}{2} \]
Thus, the solution is
\[ y = -\frac{5}{2} \]