Solve the inequality for \( y \). \[ \frac{8}{9} \leq-10 y \] Simplify your answer as much as possible.

To solve the inequality \( \frac{8}{9} \leq -10y \), we begin by isolating \( y \). First, we can divide both sides by \(-10\), but remember that when dividing an inequality by a negative number, we must reverse the inequality sign. So, we have: \[ \frac{8}{9} \cdot \left(-\frac{1}{10}\right) \geq y \] Calculating the left side: \[ -\frac{8}{90} = -\frac{4}{45} \] Now, flipping the inequality sign gives us: \[ y \leq -\frac{4}{45} \] Thus, the solution to the inequality is: \[ y \leq -\frac{4}{45} \]