We can simplify the given expression:

\[
\frac{(y+1)}{(y+1)^2} + \frac{3}{y+1}
\]

### Step 1: Simplify the first term
The first term simplifies as follows:
\[
\frac{(y+1)}{(y+1)^2} = \frac{1}{y+1}
\]

So now the expression becomes:
\[
\frac{1}{y+1} + \frac{3}{y+1}
\]

### Step 2: Combine like terms
Both terms have the same denominator \((y+1)\), so we can combine them:
\[
\frac{1 + 3}{y+1} = \frac{4}{y+1}
\]

### Final Answer:
\[
\frac{4}{y+1}
\]

Would you like any more details or have any further questions?

Here are 5 related questions to explore:
1. How can I simplify rational expressions with different denominators?
2. How do you factor polynomials with common terms?
3. What is the process for finding common denominators in algebraic fractions?
4. How do you simplify expressions with exponents?
5. How do you solve rational equations involving variables in the denominator?

**Tip:** Always look for common denominators when combining fractions to simplify algebraic expressions faster!

Learn how to simplify the rational expression ((y+1)/(y+1)^2)) + (3/(y+1)) using the concept of combining fractions with like denominators. This step-by-step guide breaks down the simplification process, suitable for students in Grades 8-10.

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