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Simplifying 6(y + 9) + y = 2(y + 3) + -8 Reorder the terms: 6(9 + y) + y = 2(y + 3) + -8 (9 * 6 + y * 6) + y = 2(y + 3) + -8 (54 + 6y) + y = 2(y + 3) + -8 Combine like terms: 6y + y = 7y 54 + 7y = 2(y + 3) + -8 Reorder the terms: 54 + 7y = 2(3 + y) + -8 54 + 7y = (3 * 2 + y * 2) + -8 54 + 7y = (6 + 2y) + -8 Reorder the terms: 54 + 7y = 6 + -8 + 2y Combine like terms: 6 + -8 = -2 54 + 7y = -2 + 2y Solving 54 + 7y = -2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 54 + 7y + -2y = -2 + 2y + -2y Combine like terms: 7y + -2y = 5y 54 + 5y = -2 + 2y + -2y Combine like terms: 2y + -2y = 0 54 + 5y = -2 + 0 54 + 5y = -2 Add '-54' to each side of the equation. 54 + -54 + 5y = -2 + -54 Combine like terms: 54 + -54 = 0 0 + 5y = -2 + -54 5y = -2 + -54 Combine like terms: -2 + -54 = -56 5y = -56 Divide each side by '5'. y = -11.2 Simplifying y = -11.2
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