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This method is very thorough and if you follow it exactly, you will be able to solve an easy sudoku puzzle. However, it requires a lot of time to write down every possibility in every square. I think it might be overkill for an easy puzzle. Most easy sudokus can be solved just by looking. Here's a video that shows you how to solve easy sudoku puzzles.
If you get stuck on a sudoku puzzle and need some help, we have a website that can help you get hints: Sudoku Beginner.
If you ever get stuck and need some help on a sudoku puzzle, visit Sudoku Beginner to get some help.