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In this video, the focus is on changing the subject of a formula. The equation y = x + 8 is used as an example, where y is initially the subject. To make x the subject, one can rearrange the equation by subtracting both sides by 8 or moving the constants to the other side. The resulting equation is x = y - 8. Another example is given with x + y = 3, where x is to be made the subject by adding x to both sides, resulting in x + y = 3. Subtracting y from both sides or moving it to the other side can achieve the desired result.