Cadmium doesn't change the oxidation number. I would recommend write down only the Ions who change.
Also : S2- => S + 2 e-
While you are correct about cadmium being +2 before and after, treating S
2- as ions is incorrect, as CdS is insoluble (pK
sp around 27).
How do you balance the CdS --> S reaction?
I would try CdS -> Cd
2+ + S
Or is there a different method to use that works. When is it appropriate to use half reactions and when is it not?
Each method has it better and weaker points. Half reactions are quite good, I guess the problem here is you are given a set of tricky reactions. That's good. Once you will get efficient at doing tricky ones, you will be able to do the easy ones in memory, while picking your nose