Do you write NH3 as N3+ + H+ in net ionic equations, or do you write NH3 as is?

Okay so the original equation is
ZnSO4(aq) + 2NH3(aq)? + 2H2O(l) Zn(OH)2 + (NH4)2SO4
Net ionic would be:
Zn2+ + SO4^2- + 2NH3 + 2H2O Zn2+ 2OH- + 2NH4 + SO4^2-
2NH3 + 2H2O 2OH- + 2NH4

is this correct?