I have no idea where I got .896 volts from. I should've subracted 0.34 volts from 0.76 volts to get an E0 of 0.42 volts.
You are getting closer, but there is still a problem - this time with your initial data. Standard potential for the redox reaction for Zn/Zn
2+ is not 0.76V.
Or, to put it differently - you are mixing different approaches to calculate the cell potential, and you are getting the wrong final answer.
My advice: never use oxidation potentials. When you have a half cell in the solution it will react in both directions at exactly the same potential, it will not automagically switch the sign just because the reaction is reversed.