I dyed my hair using casting iced latte but it came out dark brown. What is the best way to fade it without turning it orange?

The best way is to let it fade by itself. Other than that, it's Color Oops then re-dye. Look at the last 10 posts. I think that at least 5 of them are people who dyed their hair too dark and want to lighten it.

Color Oops (or Color Zap or ColorFix) will most likely leave your hair orange. That is to be expected. That is the remaining *natural* pigment color after lightening with hydrogen peroxide. Even if you use a dark dye, it still has hydrogen peroxide in it and will lighten your natural pigments. Your hair has to be re-dyed after using color remover.

I have done this way too many times, since I should've learned my lesson the first time... I tried Color Oops once, it wrecked my hair and turned it orange. What I did was use daily clarifying shampoo and shampooed my hair multiple times. They say to use dish soap, it does work but makes your hair very, very dry. Hot oil can also help take some of the color out. Other than that, give it time :)