Can a single arbitrary constant be counted twice if it cannot be combined?

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For example, c(y + c)² = x³. Since the c and c (both same 'c') don't seem to be combine-able, should we consider them two different arbitrary constants? I have this confusion because we seem to combine multiple arbitrary constants if possible to get the order of a Differential Equation. This implies (to me atleast) that only those arbitrary constants count that cannot be further condensed.