Translation:The cat is coming and going from the bedroom to the living room.
First of all if I do a straight translation of va et vient, it is "going and coming". But that translation will be marked wrong to match the American English of "coming and going". Ok. Got it. Translate to Am. Eng. Yup. Non. Next you REQUIRE THE FRIGGIN "THE" BEFORE THE ROOM NAME in a situation where ce n'est pas neccessaire en L'englais, Americain. Decide.
Because we always say "come and go" and not "go and come".