YOU SAID:
I like cake, so does Jake.
INTO JAPANESE
私はケーキが好きです、それでジェイクも好きです。
BACK INTO ENGLISH
I like cake, so I like Jake.
INTO JAPANESE
私はケーキが好きなので、Jakeが好きです。
BACK INTO ENGLISH
I like cake, so I like Jake.
That didn't even make that much sense in English.