Na własną rękę v angličtině:

I don't like to be on my own, I'm sociable and open to people.

1. Believe it or not, I did the cleaning on my own.2. After her husband's death, she lived on her own.

I can`t do this on my own

I like working on my own.

You think I'm crying, on my own, well I ain't and now I know I'm better sleeping on my own.

I wake up on my own but the alarm clock is set up anyway.