DIY Glycolysis

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Step Eight - Dehydration of 3-phosphoglycerate

Possible but what does it achieve?

Could be done but where does it lead? The only free hydroxyl group is on carbon 2. That would be removed by a dehydration. If you remember the target is lactate which has a hydroxyl group on carbon 2 so it may not be a good idea to remove it now.

If you want to get access to a hydroxyl group on carbon 3 you'll have to do something about the phosphate group.