You might not have to bleach it that much. (from what I can see, it looks like you're pretty light already) If you had red before all you'd have to do is do a ash based toner over it. (ash will get red of that pesky orange/yellow) If you bleach it until it's white that literally means you've damaged your hair beyond repair and it'll fall/break off.
you have the same color as me bleaching white is difficult. it's very bad for your scalp i can tell you i nearly got bald. i used 12% peroxide with blue powder for eliminating yellow pigment. good luck
Be careful with your hair, I had a part of my hair white last year and bleaching has totally destroyed my hair because decoloration from natural black (asian hair) to white is too extreme. I hope you'll be more lucky.