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Simplifying -27 + -3y = -8(6y + -5) Reorder the terms: -27 + -3y = -8(-5 + 6y) -27 + -3y = (-5 * -8 + 6y * -8) -27 + -3y = (40 + -48y) Solving -27 + -3y = 40 + -48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '48y' to each side of the equation. -27 + -3y + 48y = 40 + -48y + 48y Combine like terms: -3y + 48y = 45y -27 + 45y = 40 + -48y + 48y Combine like terms: -48y + 48y = 0 -27 + 45y = 40 + 0 -27 + 45y = 40 Add '27' to each side of the equation. -27 + 27 + 45y = 40 + 27 Combine like terms: -27 + 27 = 0 0 + 45y = 40 + 27 45y = 40 + 27 Combine like terms: 40 + 27 = 67 45y = 67 Divide each side by '45'. y = 1.488888889 Simplifying y = 1.488888889
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