Complex sentence: Patty refuses to let him take the test after a comment he made about her being born a man, but when Otto tells her he wants to pass so that he can prove Homer wrong, she relents out of spite for her brother-in-law.
Split into simpler sentences: Patty refuses to let him take the test after a comment he made about her being born a man. However, when Otto tells her he wants to pass so that he can prove Homer wrong, she relents out of spite for her brother-in-law.