Final answer:The expandedequivalent expressionof -1/4(8x+12y) is -2x - 3y.Explanation:The given mathematical expression is: -1/4(8x+12y). To expand and simplify this expression, we need to apply the distributive property of multiplication over addition, which means we multiply -1/4 with both 8x and 12y separately. So, the first step would be -1/4 * 8x which becomes -2x. Doing the same for the second term, -1/4 * 12y, the result will be -3y. Therefore, the equivalent expanded expression becomes-2x - 3y.Learn more about Math Expression Expansion here:brainly.com/question/35492486#SPJ3...

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