It doesn't need to be fixed. It is colloquial language but grammatical.

I really hate the stories about your life, they make me feel like my life sucks.

I really hate your life's stories which make me think mine sucks.

Thanks. So, the final version is 'I really hate hearing the stories about your life because they make me feel like my own life sucks'...

Grammatically, it is incorrect. There should not be a comma after "life." You could edit this sentence to make it sound "better." But its not necessarily needed. "because" is a transition word and in your case, you do not need a comma.