3 K2MnVIO4 + 2 H2O 2 KMnVIIO4 + MnIVO2 + 4 KOH

This is an oxidation-reduction (redox) reaction:

2 MnVI - 2 e- 2 MnVII (oxidation)

MnVI + 2 e- MnIV (reduction)

Change the oxidation states