Which expression is equivalent to 30(12x−2)+40(34y−4)

To simplify the expression \( 30(12x - 2) + 40(34y - 4) \), we can distribute each term:

1. Distributing \( 30 \) in the first part:
\[
30(12x) - 30(2) = 360x - 60
\]

2. Distributing \( 40 \) in the second part:
\[
40(34y) - 40(4) = 1360y - 160
\]

Now, combine these results:
\[
360x - 60 + 1360y - 160
\]

Combine the constants:
\[
360x + 1360y - (60 + 160) = 360x + 1360y - 220
\]

Thus, the final simplified expression is:
\[
360x + 1360y - 220
\]

Now we can check if this matches any of the provided responses:
1. \( 15x + 30y - 64 \)
2. \( 15x + 30y - 220 \)
3. \( 45xy - 220 \)
4. \( 15x - 30y - 220 \)

None of them match the expression \( 360x + 1360y - 220 \). It appears the options provided may not correspond correctly to this simplification.

Let me also verify the coefficients again:
- From \( 30(12x) = 360x \) is correct.
- From \( 40(34y) = 1360y \) is also correct.

Therefore, the simplified expression that we obtained, \( 360x + 1360y - 220 \), does not match the choices provided. If you're looking for a specific equivalent expression from the options given, it looks like none of them are correct based on the initial calculations. Please check the original problem or options again.