There are many good reasons to exercise. Muscle strength, improved bone density, cardiovascular health, optimal metabolic function, reducing risk of stroke and heart disease and T2 diabetes and dementia — the list is long. Exercise energizes and makes you feel great. But exercise is not a great weight loss strategy. You can lose weight with exercise, but (1) you have to work really hard at it, and (2) the weight tends to come off very slowly.
The best way to burn off excess body fat is by reducing consumption of sugar and refined carbohydrates. The reason is that carbohydrates drive up blood sugar (glucose), which stimulates the secretion of insulin. Insulin is the fat storage hormone. If the excess glucose is not used for energy, insulin moves it into the fat cells to be used for energy later. But if we keep eating the carbs and glucose levels remain high, the stored fat is never metabolized for energy — so the fat cells remain. You cannot outrun a bad diet.
A low carb / ketogenic diet causes the body to transform from burning sugar for energy to burning fat. It works.