YOU SAID:
i hate you like my cat hates me
INTO JAPANESE
私の猫が私を嫌っているのが好き
BACK INTO ENGLISH
I like my cat hating me
INTO JAPANESE
私が嫌いな猫が好き
BACK INTO ENGLISH
I like cats I hate
INTO JAPANESE
嫌いな猫が好き
BACK INTO ENGLISH
I like cats I hate
That didn't even make that much sense in English.