You probably can't get sodium sulfite as a household ingredient -- I have a couple liters of a stock solution I made up several months ago, and have stored in a tight plastic jug with minimum air (so, hopefully, it's still close to the original 20% strength, not too much converted to the sulfate yet), but it was Kodak brand and I bought it in a large photographic shop. You can get the same stuff in generic brand from Photographer's Formulary or wherever Aussies buy their raw chemicals -- sodium sulfite isn't particularly esoteric; you might even find it at butcher shops or brewers' suppliers and the like, since it's also used as a food preservative. The one pound jar I bought cost, IIRC, about US$5 with the Kodak label on it.
Sodium carbonate, in my case, is Arm & Hammer brand "washing soda" or what some parts of Europe call "household soda" -- it's sold as a detergent enhancer and fabric deodorizer, at least in this country. Costs about US$3 for a big box, probably a decade supply at the rate I use it.
So, starting with the 20% sodium sulfite solution, I put two ounces in a graduate, add water to make 22 ounces, and then stir in a teaspoon of the washing soda power. When the cloudiness is cleared up, it's ready to use.
You could probably do the exact same thing with Hypo Clearing Agent, if you have that -- it's mostly sodium sulfite anyway, though I don't know the strength so can't recommend a dilution factor. Dilute so its 2% strength sulfite, and then add the washing soda as before.
Lacking the sulfite, you'll get some improvement in the dye with plain alkalized water, using either washing soda or borax; here, you're just washing the dye out of the gelatin rather than decoloring it, but it takes a lot longer and still requires longer than normal washing after alkalizing the film.
Best of all, get an alkaline fixer and take off the rubber bands after half the fixing time -- you'll never see the dye again. There's plenty of sulfite in commercial fixers to do this, as long as the solution is alkaline to keep the gelatin "open".