“独立生活”常见的英文表达是 live independently 。
例如：
After graduating from college, she decided to live independently. （大学毕业后，她决定独立生活。）
It's important for young people to learn how to live independently. （对年轻人来说，学会独立生活很重要。）
此外，也可以用 lead an independent life 来表达相同的意思。例如：
He has been leading an independent life since he turned 18. （他自18岁起就开始独立生活了 。）