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Simplifying -20(y + 3) + 6(4y + -4) = 3(y + -4) + 9 Reorder the terms: -20(3 + y) + 6(4y + -4) = 3(y + -4) + 9 (3 * -20 + y * -20) + 6(4y + -4) = 3(y + -4) + 9 (-60 + -20y) + 6(4y + -4) = 3(y + -4) + 9 Reorder the terms: -60 + -20y + 6(-4 + 4y) = 3(y + -4) + 9 -60 + -20y + (-4 * 6 + 4y * 6) = 3(y + -4) + 9 -60 + -20y + (-24 + 24y) = 3(y + -4) + 9 Reorder the terms: -60 + -24 + -20y + 24y = 3(y + -4) + 9 Combine like terms: -60 + -24 = -84 -84 + -20y + 24y = 3(y + -4) + 9 Combine like terms: -20y + 24y = 4y -84 + 4y = 3(y + -4) + 9 Reorder the terms: -84 + 4y = 3(-4 + y) + 9 -84 + 4y = (-4 * 3 + y * 3) + 9 -84 + 4y = (-12 + 3y) + 9 Reorder the terms: -84 + 4y = -12 + 9 + 3y Combine like terms: -12 + 9 = -3 -84 + 4y = -3 + 3y Solving -84 + 4y = -3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -84 + 4y + -3y = -3 + 3y + -3y Combine like terms: 4y + -3y = 1y -84 + 1y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 -84 + 1y = -3 + 0 -84 + 1y = -3 Add '84' to each side of the equation. -84 + 84 + 1y = -3 + 84 Combine like terms: -84 + 84 = 0 0 + 1y = -3 + 84 1y = -3 + 84 Combine like terms: -3 + 84 = 81 1y = 81 Divide each side by '1'. y = 81 Simplifying y = 81
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