Using water from a cycled tank helps a little but if you don't use cycled filter media with the BB already established it doesn't do enough.
If you are starting a new tank the best thing to do is put a new piece of media in the filter of the established tank and let it run there for a week or so. If your main tank has more than one piece of filter media you could remove a piece of it to put in the new tank along with using the water from the main tank and maybe a little of the substrate wrapped in panty hose this will give a big kick start to cycle the tank quickly