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Simplifying 27 = -9(y + 5) + 6(y + -8) Reorder the terms: 27 = -9(5 + y) + 6(y + -8) 27 = (5 * -9 + y * -9) + 6(y + -8) 27 = (-45 + -9y) + 6(y + -8) Reorder the terms: 27 = -45 + -9y + 6(-8 + y) 27 = -45 + -9y + (-8 * 6 + y * 6) 27 = -45 + -9y + (-48 + 6y) Reorder the terms: 27 = -45 + -48 + -9y + 6y Combine like terms: -45 + -48 = -93 27 = -93 + -9y + 6y Combine like terms: -9y + 6y = -3y 27 = -93 + -3y Solving 27 = -93 + -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. 27 + 3y = -93 + -3y + 3y Combine like terms: -3y + 3y = 0 27 + 3y = -93 + 0 27 + 3y = -93 Add '-27' to each side of the equation. 27 + -27 + 3y = -93 + -27 Combine like terms: 27 + -27 = 0 0 + 3y = -93 + -27 3y = -93 + -27 Combine like terms: -93 + -27 = -120 3y = -120 Divide each side by '3'. y = -40 Simplifying y = -40
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