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Simplifying -5 + 4y + 13(17y + -4) = -12 + 13(5y + -3) + -20(5y + 9) Reorder the terms: -5 + 4y + 13(-4 + 17y) = -12 + 13(5y + -3) + -20(5y + 9) -5 + 4y + (-4 * 13 + 17y * 13) = -12 + 13(5y + -3) + -20(5y + 9) -5 + 4y + (-52 + 221y) = -12 + 13(5y + -3) + -20(5y + 9) Reorder the terms: -5 + -52 + 4y + 221y = -12 + 13(5y + -3) + -20(5y + 9) Combine like terms: -5 + -52 = -57 -57 + 4y + 221y = -12 + 13(5y + -3) + -20(5y + 9) Combine like terms: 4y + 221y = 225y -57 + 225y = -12 + 13(5y + -3) + -20(5y + 9) Reorder the terms: -57 + 225y = -12 + 13(-3 + 5y) + -20(5y + 9) -57 + 225y = -12 + (-3 * 13 + 5y * 13) + -20(5y + 9) -57 + 225y = -12 + (-39 + 65y) + -20(5y + 9) Reorder the terms: -57 + 225y = -12 + -39 + 65y + -20(9 + 5y) -57 + 225y = -12 + -39 + 65y + (9 * -20 + 5y * -20) -57 + 225y = -12 + -39 + 65y + (-180 + -100y) Reorder the terms: -57 + 225y = -12 + -39 + -180 + 65y + -100y Combine like terms: -12 + -39 = -51 -57 + 225y = -51 + -180 + 65y + -100y Combine like terms: -51 + -180 = -231 -57 + 225y = -231 + 65y + -100y Combine like terms: 65y + -100y = -35y -57 + 225y = -231 + -35y Solving -57 + 225y = -231 + -35y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35y' to each side of the equation. -57 + 225y + 35y = -231 + -35y + 35y Combine like terms: 225y + 35y = 260y -57 + 260y = -231 + -35y + 35y Combine like terms: -35y + 35y = 0 -57 + 260y = -231 + 0 -57 + 260y = -231 Add '57' to each side of the equation. -57 + 57 + 260y = -231 + 57 Combine like terms: -57 + 57 = 0 0 + 260y = -231 + 57 260y = -231 + 57 Combine like terms: -231 + 57 = -174 260y = -174 Divide each side by '260'. y = -0.6692307692 Simplifying y = -0.6692307692
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