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Simplifying 5(140y + 175) = 140 + 175(35y + 140) Reorder the terms: 5(175 + 140y) = 140 + 175(35y + 140) (175 * 5 + 140y * 5) = 140 + 175(35y + 140) (875 + 700y) = 140 + 175(35y + 140) Reorder the terms: 875 + 700y = 140 + 175(140 + 35y) 875 + 700y = 140 + (140 * 175 + 35y * 175) 875 + 700y = 140 + (24500 + 6125y) Combine like terms: 140 + 24500 = 24640 875 + 700y = 24640 + 6125y Solving 875 + 700y = 24640 + 6125y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6125y' to each side of the equation. 875 + 700y + -6125y = 24640 + 6125y + -6125y Combine like terms: 700y + -6125y = -5425y 875 + -5425y = 24640 + 6125y + -6125y Combine like terms: 6125y + -6125y = 0 875 + -5425y = 24640 + 0 875 + -5425y = 24640 Add '-875' to each side of the equation. 875 + -875 + -5425y = 24640 + -875 Combine like terms: 875 + -875 = 0 0 + -5425y = 24640 + -875 -5425y = 24640 + -875 Combine like terms: 24640 + -875 = 23765 -5425y = 23765 Divide each side by '-5425'. y = -4.380645161 Simplifying y = -4.380645161
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