Let the translation take $-4 + 5i$ to $a + bi$.
Since the translation takes $-3 + 2i$ to $-7 - i,$
the translation takes $(-3 + 2i) - (-4 + 5i) = 1 - 3i$ to $(-7 - i) - (a + bi) = -7 - a - (1 + b)i.$
Therefore, $-7 - a = 1$ and $-1 - b = -3.$  Hence, $a = -8$ and $b = 2,$ so the translation takes $-4 + 5i$ to $\boxed{-8 + 2i}.$
The answer is: -8+2i
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
A translation of the plane takes $-3 + 2i$ to $-7 - i.$  Find the complex number that the translation takes $-4 + 5i$ to.

### Answer:
