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It looks like you have an expression involving fractions. The problem in the image appears to be:

\[
\frac{5y + 10}{y + 2} \text{ or similar form.}
\]

This expression simplifies by factoring the numerator.

### Steps for Simplification:
1. **Factor the numerator**: The numerator is \( 5y + 10 \). You can factor out the greatest common factor, which is 5:
   \[
   5y + 10 = 5(y + 2)
   \]

2. **Cancel out common terms**: The denominator is \( y + 2 \), so if \( y + 2 \neq 0 \), you can cancel the \( y + 2 \) from both the numerator and the denominator:
   \[
   \frac{5(y + 2)}{y + 2} = 5
   \]

Thus, the expression simplifies to:

\[
5 \quad \text{(for } y \neq -2\text{)}
\]

### A similar problem:
Simplify the following expression:

\[
\frac{6x + 18}{x + 3}
\]

Would you like help solving this similar problem?

---
Questions:
1. How would you approach factoring a quadratic expression in the numerator?
2. What happens if the denominator equals zero in a fraction like this?
3. Could you explain why we cancel out \(y + 2\) in this expression?
4. What are the restrictions on \(y\) in the original problem?
5. Can this approach be used for more complex fractions?

**Tip**: Always check if the denominator can equal zero before simplifying!

Simplify the algebraic expression (5y + 10) / (y + 2) by factoring and canceling common terms. This step-by-step guide explains the process, focusing on key algebraic concepts such as factoring and the cancellation law of fractions. Perfect for students in Grades 7-9.

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