Not everyone operates the same way... For me (but do as you want!):
- I don't apply rules for signs. Thinking every time is safer.
- Third rxn gives C2H2 from the difference between C2Ca and Ca(OH)2.
- Second rxn, the difference between CaO and C2Ca.
- First rxn, the difference between CaO and Ca(OH)2.
Real life is easier than this artificial problem.