Evaluate the integral. \[ \int_{-5}^{-4}\left(\frac{y^{6}-7 y}{y^{5}}\right) d y \]

Step 1 ：Rewrite the integral by dividing each term in the numerator by \(y^{5}\). This results in two separate integrals: \(\int_{-5}^{-4} y dy - 7\int_{-5}^{-4} \frac{1}{y^4} dy\).

Step 2 ：Solve the first integral using the power rule for integrals, which states that \(\int x^n dx = \frac{1}{n+1}x^{n+1}\). The result is \(-\frac{9}{2}\).

Step 3 ：Solve the second integral using the power rule for integrals, but first rewrite \(\frac{1}{y^4}\) as \(y^{-4}\). The result is \(\frac{61}{24000}\).

Step 4 ：Add the results of the two integrals to get the final result: \(-\frac{9}{2} + \frac{61}{24000} = -\frac{108427}{24000}\).

Step 5 ：The value of the integral is \(\boxed{-\frac{108427}{24000}}\).