Let's simplify the given expression:

\[
(4x + 4 + x^2 - 8x + 15) + (4x + y)
\]

### Step-by-step simplification:
1. Combine like terms inside the first parentheses:
   \[
   4x + x^2 - 8x + 4 + 15 = x^2 - 4x + 19
   \]

2. Now include the terms from the second parentheses:
   \[
   (x^2 - 4x + 19) + (4x + y) = x^2 + (-4x + 4x) + 19 + y
   \]

3. Combine the like terms:
   \[
   x^2 + 19 + y
   \]

Thus, the simplified expression is:
\[
x^2 + 19 + y
\]

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How do you identify and combine like terms in an expression?
2. What are the basic rules for simplifying polynomial expressions?
3. How can you simplify an expression involving multiple variables like \(x\) and \(y\)?
4. What is the significance of the constant term in polynomial expressions?
5. How do you expand and factor polynomial expressions?

**Tip**: Always start by grouping similar terms (same variable and power) to simplify expressions efficiently.

The query submitted by the user: (4x+4+x²-8x+15)+(4x+y)

Learn how to simplify the polynomial expression (4x + 4 + x² - 8x + 15) + (4x + y) by combining like terms and rearranging variables. This problem covers essential algebraic concepts like simplifying expressions and working with polynomials. Suitable for students in Grades 8-10.

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