Yes, Y was 2,2-dimethylbutanoic acid, though the question was meant to ask for the name of Z.
The oxidant was the diamminesilver(I) cation, [Ag(NH3)2]+.
It was formed, as stated in the question, by reaction of silver(I) nitrate with sodium hydroxide to form silver oxide:
2 AgNO3 (aq) + 2 NaOH...