Final answer:To solve the inequality 28y-32>4(6y-2), we distribute, combine like terms, and isolate y to find that y>6 is the solution.Explanation:The question asks to solve the inequality 28y-32>4(6y-2).To solve this, we first expand and simplify the inequality.First, distribute the 4 on the right side: 28y - 32 > 24y - 8.Next, subtract 24y from both sides to get the variables on one side: 4y - 32 > -8.Then, add 32 to both sides to isolate the term with y: 4y > 24.Finally, divide both sides by 4 to solve for y: y > 6.Therefore, the solution to the inequality is y > 6.This means any y value greater than 6 satisfies the original inequality....

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