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10\left(-\frac{5}{4}\right)=y
Multiply both sides by -\frac{5}{4}, the reciprocal of -\frac{4}{5}.
\frac{10\left(-5\right)}{4}=y
Express 10\left(-\frac{5}{4}\right) as a single fraction.
\frac{-50}{4}=y
Multiply 10 and -5 to get -50.
-\frac{25}{2}=y
Reduce the fraction \frac{-50}{4} to lowest terms by extracting and canceling out 2.
y=-\frac{25}{2}
Swap sides so that all variable terms are on the left hand side.