KBrO3 (aq) + 6 KI (aq) + 6 HBr (aq) → 7 KBr (aq) + 3 I2 (s) + 3 H2O (l)
This is an oxidation-reduction (redox) reaction:
BrV + 6 e- → Br-I (reduction)
6 I-I - 6 e- → 6 I0 (oxidation)
KBrO3 is an oxidizing agent, KI is a reducing agent.
This is a precipitation reaction: I2 is the formed precipitate.