\begin{tabular}{l} Solve for \( y \) : \\ \( \frac{-7 y}{3}-5<-7 \) \\ \hline \\ \hline\end{tabular}

Solve the equation \( \frac{-7y}{3}-5<-7 \). Solve the inequality by following steps: - step0: Solve for \(y\): \(\frac{-7y}{3}-5<-7\) - step1: Rewrite the fraction: \(-\frac{7y}{3}-5<-7\) - step2: Multiply both sides: \(\left(-\frac{7y}{3}-5\right)\times 3<-7\times 3\) - step3: Multiply the terms: \(-7y-15<-21\) - step4: Move the constant to the right side: \(-7y<-21+15\) - step5: Add the numbers: \(-7y<-6\) - step6: Change the signs: \(7y>6\) - step7: Divide both sides: \(\frac{7y}{7}>\frac{6}{7}\) - step8: Divide the numbers: \(y>\frac{6}{7}\) The solution to the inequality \( \frac{-7y}{3}-5<-7 \) is \( y > \frac{6}{7} \).