Colors that bleed in a wash cycle can be removed from clothing with a combination of oxygen-based bleach and distilled vinegar, according to About.com. Chlorine-based bleach is not recommended for this process.
One cup of distilled vinegar should be mixed with the bleach in cool water, following manufacturer instructions for the amount of bleach to be used. The dyed clothing should soak in the mixture for a minimum of eight hours. The clothes are safe to wash in a regular cycle if the dye is gone after the initial soaking. If the clothes are still stained, a new solution of bleach and vinegar should be mixed for a repeat soaking of at least eight hours before the final wash.