To solve this, we need to simplify the given expression:

$-6z + (-2.5) + 4.5z + 7y - 5.5$

Let's simplify it step-by-step:

1. Combine terms involving $z$: $-6z + 4.5z = -1.5z$

2. Combine the constant terms: $-2.5 - 5.5 = -8$

3. Rearrange the simplified expression: $-1.5z + 7y - 8$

Thus, the simplified form of the expression is: $-1.5z + 7y - 8$

Now, let’s see which answer choices match this form:

• Option A: $7y - 8 - 1.5z$
  This is equivalent to $-1.5z + 7y - 8$, so Option A is correct.

• Option B: $-1.5z + 7y - 8$
  This matches our simplified form exactly, so Option B is correct.

• Option C: $7y + (-1.5z) - 2.5$
  This differs because of the $-2.5$ instead of $-8$, so Option C is incorrect.

• Option D: $-8 + 7y + 1.5z$
  This differs in the sign of $z$ term (positive $1.5z$ instead of $-1.5z$), so Option D is incorrect.

• Option E: $-8 + 7y + (-1.5z)$
  This is equivalent to $-1.5z + 7y - 8$, so Option E is correct.

Correct Answers

The correct options are A, B, and E.

Would you like more details on any step, or have further questions?

Here are 5 related questions to expand your understanding:

1. How do you combine like terms in algebraic expressions?
2. What strategies can help identify equivalent expressions?
3. Why does the order of terms in an expression not affect its equivalence?
4. How can we distribute negative signs in expressions effectively?
5. What are common mistakes to avoid when simplifying expressions?

Tip: Always double-check each term when combining like terms, as signs can easily lead to errors.