Just a couple of pointers:
Living independently is a basic human instinct, it is like declaring independence. > Living independently is a basic human instinct; it is like declaring independence. (it is an act of declaring one's independence?)
Youths > Young people
Youths usually tend to show this by living on their own So it appears that this refers to living independently, so I think you're saying that Youths usually tend to show living independently by living on their own? What if you wrote Living independently is one of the major ways that young people can become independent?
You also wrote usually and tend which is redundant since they both have similar meanings.