Na2CO3 + 2HC2H3O2 --> CO2 + H2O + 2NaC2H3O2 (note my corrections to your original post)
2Na^+ + CO3^-2 + 2HC2H3O2 ==> CO2 + H2O + 2Na^+ + 2C2H3O2^-
Now cancel the ions common to each side to arrive at the net ionic equation. To be a little more accurate, place an (aq) after each ion or solution.
net ionic equation of
Na2CO3+2HC2H3O2-->CO2+h2o+2Na2H3O2
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