You are partially on the right track, partially wrong.
Yes. I know what is ionic equation.
So, Cu(NH4)2(SO4)2 break down becomes Cu2+ + 2NH4+ + 2SO4 2-
NaOH will be Na+ and OH-.
So OH- + NH4+ --> NH4OH --> NH3 + H2O ?
and Cu2+ + 2SO4 2- + Na+ --> CuSO4 and Na2SO4?