Use a stack to track opening brackets. When you encounter a closing bracket, check if it matches the most recent opening bracket on the stack.
The boolean conditions are: does the stack have an element? Does the top match this closing bracket? If both are true, pop the stack and continue. If either is false, return false.
After processing all characters, the stack should be empty. If it still has elements, you have unmatched opening brackets. Return stack.isEmpty().