I've not seen any hints and the order to activate in is random. Just trial and error. Make sure only one person is activating at any time, otherwise you might get the order (or information) wrong.
I can't remember the exact process, but I seem to remember that you can hover your cursor over one of the levers and it will show you which squares activating the lever will change. Move between the three levers checking which will change which squares and you can guide a teammate through with no issues.