The inequality given is:

$\frac{7}{9}y < -4$

To solve for $y$, follow these steps:

1. Multiply both sides of the inequality by the reciprocal of $\frac{7}{9}$ (which is $\frac{9}{7}$) to isolate $y$:

$y < -4 \times \frac{9}{7}$

2. Simplify the right-hand side:

$y < \frac{-36}{7}$

So, the solution is:

$y < \frac{-36}{7}$

Do you need more details on any of these steps?

Related Questions:

1. How do you solve inequalities involving fractions?
2. How do you graph the solution of a linear inequality?
3. What are the rules for multiplying or dividing inequalities?
4. How do you convert improper fractions to decimals?
5. What is the difference between solving an equation and an inequality?

Tip:

When solving inequalities, remember that if you multiply or divide both sides by a negative number, the inequality symbol flips.