Final answer:To solve the equation 4x-2y=8 for y, we firstrearrangethe equation to have 2y = 4x - 8 and then divide all terms by 2 to find y = 2x - 4. This shows that y is dependent on x, using the basic principle of algebra.Explanation:The subject of this problem is algebra, specifically linear equations. The equation given is4x-2y=8. To solve for y in this equation, it would involve a series of steps. First, reorder the equation to isolate 'y' on one side. So it becomes 2y = 4x - 8. Then, divide both sides of the equation by 2 to solve for y, which gives the final equation as y = 2x - 4.This equation shows that y depends on x, meaning x is the independent variable and y is the dependent variable. In other words, the value of y changes according to the value of x.The step-by-step method used here involves the basis of algebra, where the same operation (like addition, subtraction, multiplication, division) is performed on both sides of an equation, to ensure the equation remains balanced.Learn more about Solving Linear Equations here:brainly.com/question/11897796#SPJ12...

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