3 C2-IIH5OH + 4 KMnVIIO4 3 C-IIH3CIIOOH + 4 MnIVO2 + 4 KOH + H2O

This is an oxidation-reduction (redox) reaction:

4 MnVII + 12 e- 4 MnIV (reduction)

3 C-II - 12 e- 3 CII (oxidation)

Change the oxidation states