What's your natural hair color? Because if its black to dark brown, you'll never get rid of the unwanted colors just by bleaching, unless you bleach all the way to a platinum blonde. If you have lighter hair it would depend of the hair base color (ash colors bleach to a beige/brown tone, dark or warm colors bleach to a orange, somethimes even red or yellow colors)
Be carefull because green neutralizes red, blue neutralizes the orange and violet neutralizes yellow. So if you try to neutralize yellow with a orange corrector you might end up with green hair (yellow+blue = green)
I wouldn't bleach the hair again unless if i wanted lighter hair.
Damn its hard to explain, the shade numbers are all different hahahah
But you can get a shade with ash (blue)+ violet this way you probably won't end up with green hair.