The expression \((x+2)+(y+6)\) can be simplified by removing the parentheses, since the addition inside is straightforward:

\[
x + 2 + y + 6
\]

Now, combine the constants:

\[
x + y + 8
\]

So, the simplified form is:

\[
x + y + 8
\]

Would you like further details or have any questions about this?

Here are 5 related questions:
1. What if the expression was \((x+2) - (y+6)\)?
2. How would you factor \((x + 2) + (y + 6)\)?
3. How does the order of operations affect the expression if multiplication was involved?
4. How would you expand and simplify \((x+2)(y+6)\)?
5. What happens if \(x = 3\) and \(y = -4\)?

**Tip**: Always combine like terms to simplify expressions!

Learn how to simplify the algebraic expression (x+2) + (y+6) by combining like terms. This problem covers fundamental algebraic concepts such as simplification and the associative property of addition. Suitable for students in Grades 6-8.

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