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Simplifying -4y + -4(3y + -5) = -5 + -4(-9 + -1y) Reorder the terms: -4y + -4(-5 + 3y) = -5 + -4(-9 + -1y) -4y + (-5 * -4 + 3y * -4) = -5 + -4(-9 + -1y) -4y + (20 + -12y) = -5 + -4(-9 + -1y) Reorder the terms: 20 + -4y + -12y = -5 + -4(-9 + -1y) Combine like terms: -4y + -12y = -16y 20 + -16y = -5 + -4(-9 + -1y) 20 + -16y = -5 + (-9 * -4 + -1y * -4) 20 + -16y = -5 + (36 + 4y) Combine like terms: -5 + 36 = 31 20 + -16y = 31 + 4y Solving 20 + -16y = 31 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 20 + -16y + -4y = 31 + 4y + -4y Combine like terms: -16y + -4y = -20y 20 + -20y = 31 + 4y + -4y Combine like terms: 4y + -4y = 0 20 + -20y = 31 + 0 20 + -20y = 31 Add '-20' to each side of the equation. 20 + -20 + -20y = 31 + -20 Combine like terms: 20 + -20 = 0 0 + -20y = 31 + -20 -20y = 31 + -20 Combine like terms: 31 + -20 = 11 -20y = 11 Divide each side by '-20'. y = -0.55 Simplifying y = -0.55
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