The problem asks us to combine like terms and write the simplified expression in the order of $x$ terms, $y$ terms, and then constants. Here's the breakdown of the terms:

1. Group 1 (like terms with $x$):

   • $-12x$
   • $-4x$

   Combine them: $-12x - 4x = -16x$

2. Group 3 (like terms with $y$):

   • $8y$
   • $-2y$

   Combine them: $8y - 2y = 6y$

3. Group 2 (constant terms):

   • $11$ (no other constants to combine)

Final Simplified Expression:

$-16x + 6y + 11$

Let me know if you would like further explanation!

Questions for Deeper Understanding:

1. What are "like terms," and how do you identify them?
2. Why is it important to combine like terms in algebraic expressions?
3. Can the order of the terms in the final expression be rearranged, or must it follow specific conventions?
4. What happens if you incorrectly combine unlike terms?
5. How does this process change when working with three or more variables?

Tip:

Always double-check the signs of your terms when combining to avoid errors!