2 MnVIIO4- + 5 SIVO32- + 6 H+ 2 (MnII)2+ + 5 SVIO42- + 3 H2O

This is an oxidation-reduction (redox) reaction:

2 MnVII + 10 e- 2 MnII (reduction)

5 SIV - 10 e- 5 SVI (oxidation)

Change the oxidation states