How do you use "-게 되다"?
What does "-게 되다" exactly mean? Can you tell me when you use "-게 되다"?
Some sentences using "-게 되다" structure:
1. 안 먹고 싶어요. 그런데 먹게 돼요.
2. 지난 주에 영화를 보게 됐어요.
3. 그렇게 하게 될 거예요.
4. 어떻게 여기에 오게 됐어요?
Please explain those sentences (what does "-게 되다" mean in each sentence) to me if you can!

Thank you so much~ ^^

Question

How do you use "-게 되다"?
What does "-게 되다" exactly mean? Can you tell me when you use "-게 되다"?
Some sentences using "-게 되다" structure:    
1. 안 먹고 싶어요. 그런데 먹게 돼요.
2. 지난 주에 영화를 보게 됐어요. 
3. 그렇게 하게 될 거예요.
4.  어떻게 여기에 오게 됐어요?   
Please explain those sentences (what does "-게 되다" mean in each sentence) to me if you can!

Thank you so much~ ^^

Answer

되다 has a few different meanings: 1. to become something, 2. to come to a certain action/state, 3. to work out. 
-게 되다 has the second sense.  It means to end up doing something or coming to a certain state without intention.

1. 안 먹고 싶어요. 그런데 먹게 돼요. I want to stop, but I still end up eating. 
2. 지난 주에 영화를 보게 됐어요. I got to see a movie last week.
3. 그렇게 하게 될 거예요.  (I/you/they) will probably do that (eventually). 
4. 어떻게 여기에 오게 됐어요?  What lead you to come here?  How did you end up coming here?

#2 sounds slightly unnatural because -게 됐어요 is a bit too big a phrase to use for something as trivial as watching a movie.  We are more likely to say 지난 주에 영화를 (하나) 봤어요.

Answer

I understand Jake's point, however, I will explain as "To do something".
Because -게 되다 can be postive or negative meaning depeonds on sentence.

1) I didn't want to, but I ate
2) I watch a movie at last week
3) I think I will do that
4) How did you come at here?

Answer

"to end up (with)" is a good fit.

- I don't want to eat, but I end up eating anyway.
- I ended up watching a movie last week.
- I will end up doing that.
- How did you end up coming here?