Every other verb apart from 有 is negated with 不 (bù). 不 is pretty much equivalent to “not” or “don’t” in English. It goes before a verb and negates it.

Some examples:

Wǒ bù xǐhuan píjiǔ.
I don't like beer.
Wǒ búyào qù Niǔyuē.
I'm not going to New York.
Wǒ bù xiǎngniàn tāmen.
I don't miss them.
Remember to negate 有 with 没, and everything else with 不.