18 H2O2-I + 2 KMnVIIO4 + 6 H2SVIO4 K2S4-1/2 + 2 MnIISVIO4 + 18 O20 + 24 H2O

This is an oxidation-reduction (redox) reaction:

2 MnVII + 10 e- 2 MnII (reduction)

4 SVI + 26 e- 4 S-1/2 (reduction)

36 O-I - 36 e- 36 O0 (oxidation)

Change the oxidation states