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Simplifying -20(y + 1) + 6(4y + -4) = 3(y + -5) + 11 Reorder the terms: -20(1 + y) + 6(4y + -4) = 3(y + -5) + 11 (1 * -20 + y * -20) + 6(4y + -4) = 3(y + -5) + 11 (-20 + -20y) + 6(4y + -4) = 3(y + -5) + 11 Reorder the terms: -20 + -20y + 6(-4 + 4y) = 3(y + -5) + 11 -20 + -20y + (-4 * 6 + 4y * 6) = 3(y + -5) + 11 -20 + -20y + (-24 + 24y) = 3(y + -5) + 11 Reorder the terms: -20 + -24 + -20y + 24y = 3(y + -5) + 11 Combine like terms: -20 + -24 = -44 -44 + -20y + 24y = 3(y + -5) + 11 Combine like terms: -20y + 24y = 4y -44 + 4y = 3(y + -5) + 11 Reorder the terms: -44 + 4y = 3(-5 + y) + 11 -44 + 4y = (-5 * 3 + y * 3) + 11 -44 + 4y = (-15 + 3y) + 11 Reorder the terms: -44 + 4y = -15 + 11 + 3y Combine like terms: -15 + 11 = -4 -44 + 4y = -4 + 3y Solving -44 + 4y = -4 + 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. -44 + 4y + -3y = -4 + 3y + -3y Combine like terms: 4y + -3y = 1y -44 + 1y = -4 + 3y + -3y Combine like terms: 3y + -3y = 0 -44 + 1y = -4 + 0 -44 + 1y = -4 Add '44' to each side of the equation. -44 + 44 + 1y = -4 + 44 Combine like terms: -44 + 44 = 0 0 + 1y = -4 + 44 1y = -4 + 44 Combine like terms: -4 + 44 = 40 1y = 40 Divide each side by '1'. y = 40 Simplifying y = 40
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