It really doesn't matter what you eat or what type of exercise you do as long as the calories burnt doing exercise exceed the calories needed to maintain your body daily. You will lose weight if that happens.
But it takes great self control when the modern world is geared for you to do the opposite which is eat way more calories than you need and move very little.
true, the formula will always be to burn more calories than you take in, but many get quite passionate when discussing the best way to achieve this....I know people who treat the no-carb lifestyle like a religion while some do not....The formula is the same, but there are many paths to getting there.