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Simplifying 8 + -1(2y + 5) = 2y + 2(y + 6) + 9 Reorder the terms: 8 + -1(5 + 2y) = 2y + 2(y + 6) + 9 8 + (5 * -1 + 2y * -1) = 2y + 2(y + 6) + 9 8 + (-5 + -2y) = 2y + 2(y + 6) + 9 Combine like terms: 8 + -5 = 3 3 + -2y = 2y + 2(y + 6) + 9 Reorder the terms: 3 + -2y = 2y + 2(6 + y) + 9 3 + -2y = 2y + (6 * 2 + y * 2) + 9 3 + -2y = 2y + (12 + 2y) + 9 Reorder the terms: 3 + -2y = 12 + 9 + 2y + 2y Combine like terms: 12 + 9 = 21 3 + -2y = 21 + 2y + 2y Combine like terms: 2y + 2y = 4y 3 + -2y = 21 + 4y Solving 3 + -2y = 21 + 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. 3 + -2y + -4y = 21 + 4y + -4y Combine like terms: -2y + -4y = -6y 3 + -6y = 21 + 4y + -4y Combine like terms: 4y + -4y = 0 3 + -6y = 21 + 0 3 + -6y = 21 Add '-3' to each side of the equation. 3 + -3 + -6y = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -6y = 21 + -3 -6y = 21 + -3 Combine like terms: 21 + -3 = 18 -6y = 18 Divide each side by '-6'. y = -3 Simplifying y = -3
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