Step 1: Understanding the nature of compound.
The compound \(Na_6(PO_3)_6\) is a complex salt where sodium ions balance the negative charge of the polyphosphate unit \((PO_3)_6\).
Step 2: Role of calcium ion.
When \(Ca^{2+}\) is added, it replaces some of the sodium ions due to its higher charge density and ability to form more stable coordination complexes.
Step 3: Charge balance consideration.
Initially, \((PO_3)_6\) has a high negative charge balanced by 6 \(Na^+\). When \(Ca^{2+}\) enters, it replaces two sodium ions because:
\[
Ca^{2+} \equiv 2Na^+
\]
Step 4: Formation of mixed salt.
Thus, part of sodium remains and calcium coordinates with the phosphate chain, forming a mixed complex:
\[
[Na_2Ca(PO_3)_6]^{2-}
\]
Step 5: Final verification.
The remaining sodium ions appear as \(yNa^+\), confirming partial substitution and correct charge balance in the complex ion.
Final Answer:
\[
\boxed{[Na_2Ca(PO_3)_6]^{2-}}
\]