There is not one set for water vapor, and a different set for CO2; there is one set of energy balance equations for the total atmosphere including all greenhouse gases. (friendsofscience.org)
There are not separate energy balance equations for different greenhouse gases. (friendsofscience.org)
It doesn't matter what the specific adjustment is — all that matters is that whatever you do deliberately impacts the calorie balance equation in an increasingly positive way. (straightforwardfatloss.com)