We are given the inequality:

\[
5y + 9 < 4
\]

To solve for \( y \), follow these steps:

1. **Subtract 9 from both sides** to isolate the term with \( y \):

\[
5y < 4 - 9
\]
\[
5y < -5
\]

2. **Divide both sides by 5** to solve for \( y \):

\[
y < \frac{-5}{5}
\]
\[
y < -1
\]

Thus, the solution is \( y < -1 \).

Would you like further details on this process or have any questions?

Here are five related questions for further exploration:
1. How would the inequality change if the original expression was \( 5y + 9 \leq 4 \)?
2. What is the graphical representation of \( y < -1 \) on a number line?
3. How would the solution differ if the inequality was \( 5y + 9 > 4 \)?
4. How do you solve inequalities when there is a negative coefficient with the variable?
5. What happens when you multiply or divide an inequality by a negative number?

**Tip:** Remember, when dividing or multiplying both sides of an inequality by a negative number, the inequality symbol reverses!

Explore how to solve the linear inequality 5y + 9 < 4 using step-by-step algebraic methods. This problem teaches essential concepts in algebra, including isolating variables and dividing inequalities. Suitable for students in Grades 6-8.

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