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The video tutorial discusses how to change the subject of a formula by rearranging the equation to solve for a specific variable. It demonstrates the process using examples, such as making x the subject of the formula y = x + 8. By subtracting both sides by a or moving a to the other side, the equation is rearranged to x = y - 8. Another example involves adding x to both sides to make x the subject of the formula x + y = 3. Subsequent steps are shown to simplify the equation and solve for x.