Use the Associative Property to determine which expressions are equivalent.

To determine which expressions are equivalent using the Associative Property, we first need to simplify the left side of the first expression, \(-3 \times (4x \times -2) \times -6y\).

1. **Simplify the left side:**
\[
-3 \times (4x \times -2) \times -6y
\]
Start with \(4x \times -2\):
\[
4x \times -2 = -8x
\]
Now substitute that back into the expression:
\[
-3 \times (-8x) \times -6y
\]
Next, simplify \(-3 \times -8x\):
\[
-3 \times -8x = 24x
\]
Now, multiply by \(-6y\):
\[
24x \times -6y = -144xy
\]

So, the left side simplifies to \(-144xy\).

Now let's analyze the right side of each expression to see if any of them simplify to \(-144xy\).

### Expressions to Evaluate:

1. **First Expression:**
\[
(-3 \times 4x) \times -2 - 6y
\]
This can be interpreted as:
\[
(-12x) \times -2 - 6y = 24x - 6y
\]
This does not equal \(-144xy\).

2. **Second Expression:**
\[
(-3 \times 4x) \times (-2 \times 6y)
\]
First calculate \( -2 \times 6y = -12y\):
\[
(-12x) \times -12y = 144xy
\]
This does not equal \(-144xy\).

3. **Third Expression:**
\[
-7xy
\]
This clearly does not equal \(-144xy\).

4. **Fourth Expression:**
\[
18 - 8x
\]
This does not equal \(-144xy\).

### Summary of Evaluation:
None of the given expressions simplify to \(-144xy\).

Thus, none of the expressions are equivalent to the left side.