To solve the equation \(-\frac{5}{8}y = \frac{25}{16}\), you can follow these steps:
-
Isolate \(y\): Start by multiplying both sides of the equation by the reciprocal of \(-\frac{5}{8}\), which is \(-\frac{8}{5}\).
\[ y = \left(\frac{25}{16}\right) \left(-\frac{8}{5}\right) \]
-
Multiply the fractions: Multiply the numerators and denominators.
\[ y = \frac{25 \cdot (-8)}{16 \cdot 5} \] \[ y = \frac{-200}{80} \]
-
Simplify the fraction: Divide the numerator and denominator by 40.
\[ y = \frac{-200 \div 40}{80 \div 40} = \frac{-5}{2} \]
So the solution is
\[ y = -\frac{5}{2} \]