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!