Understanding how to simplify Boolean algebra is as simple as learning a set of rules, when you look at each rule individually it may not make complete sense but after putting all the rules together in enables you to simplify even the biggest Boolean algebra statements down to simple statements. A nice way to think of this is like Monopoly, it has lots of rules that may not make sense by themselves but when all the rules come together it makes a full experience.
The best way to get better at simplifying Boolean algebra is through practice, however before you attempt trying to simplify a big statement you should learn the basic rules of Boolean algebra such as De Morgans Law, the annulment law, the Identity law, the idempotent law, complement law, commutative law and the double negation law. Another good way to help with simplification is to draw Venn diagrams of small parts of the total Boolean algebra statement.