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In this video, the process of changing the subject of a formula is explained. To make x the subject of the formula, the equation y = x + 8 is used as an example. By subtracting both sides by 8, the equation can be rearranged to x = y - 8. Another example is given where x + y = 3, and by adding x to both sides, the equation is transformed to x + y = 3.