Well my friend does his fine and he does it himself and pretty much his whole hair green i can post a pic if u want
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Get some professional bleach talking over 20 volume (peroxide), best source this from a wholesaler or similar that sell salon quality stuff, to bring the black down to white (yellow) a lot faster but try to avoid getting this stuff on ya scalp can burn pretty bad (ants crawling on ya scalp with pitch forks). Also get you mum to check how the bleach is going now and then, white is probably gonna be way to far and way to bright probably aim for a yellow, for after care look at getting yourself a colour stay shampoo and try not to wash your hair everyday, even without coloured, hair it's not great to wash it every day.