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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 = 15y 27 = 93 + 15y Solving 27 = 93 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 27 + -15y = 93 + 15y + -15y Combine like terms: 15y + -15y = 0 27 + -15y = 93 + 0 27 + -15y = 93 Add '-27' to each side of the equation. 27 + -27 + -15y = 93 + -27 Combine like terms: 27 + -27 = 0 0 + -15y = 93 + -27 -15y = 93 + -27 Combine like terms: 93 + -27 = 66 -15y = 66 Divide each side by '-15'. y = -4.4 Simplifying y = -4.4
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