What is the general chemical equation of photosynthesis, Biology

What is the general chemical equation of photosynthesis? Why doesn't that equation clearly show the real origin of the molecular oxygen liberated?

The general equation of photosynthesis is:

6 CO₂ + 6 H₂O + light --> C₆H₁₂O6 + 6 O₂.

Water molecules are also formed in the chemical stage of photosynthesis as the following complete equation reveals:

6 CO₂ + 12 H₂O + light --> C₆H₁₂O₆ + 6 H₂O + 6 O₂

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