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Simplifying 24 + -1[2 + 6y + -3(y + 2)] = -3(3y + -6) + -1[5(y + -1) + -9y + 9] Reorder the terms: 24 + -1[2 + 6y + -3(2 + y)] = -3(3y + -6) + -1[5(y + -1) + -9y + 9] 24 + -1[2 + 6y + (2 * -3 + y * -3)] = -3(3y + -6) + -1[5(y + -1) + -9y + 9] 24 + -1[2 + 6y + (-6 + -3y)] = -3(3y + -6) + -1[5(y + -1) + -9y + 9] Reorder the terms: 24 + -1[2 + -6 + 6y + -3y] = -3(3y + -6) + -1[5(y + -1) + -9y + 9] Combine like terms: 2 + -6 = -4 24 + -1[-4 + 6y + -3y] = -3(3y + -6) + -1[5(y + -1) + -9y + 9] Combine like terms: 6y + -3y = 3y 24 + -1[-4 + 3y] = -3(3y + -6) + -1[5(y + -1) + -9y + 9] 24 + [-4 * -1 + 3y * -1] = -3(3y + -6) + -1[5(y + -1) + -9y + 9] 24 + [4 + -3y] = -3(3y + -6) + -1[5(y + -1) + -9y + 9] Combine like terms: 24 + 4 = 28 28 + -3y = -3(3y + -6) + -1[5(y + -1) + -9y + 9] Reorder the terms: 28 + -3y = -3(-6 + 3y) + -1[5(y + -1) + -9y + 9] 28 + -3y = (-6 * -3 + 3y * -3) + -1[5(y + -1) + -9y + 9] 28 + -3y = (18 + -9y) + -1[5(y + -1) + -9y + 9] Reorder the terms: 28 + -3y = 18 + -9y + -1[5(-1 + y) + -9y + 9] 28 + -3y = 18 + -9y + -1[(-1 * 5 + y * 5) + -9y + 9] 28 + -3y = 18 + -9y + -1[(-5 + 5y) + -9y + 9] Reorder the terms: 28 + -3y = 18 + -9y + -1[-5 + 9 + 5y + -9y] Combine like terms: -5 + 9 = 4 28 + -3y = 18 + -9y + -1[4 + 5y + -9y] Combine like terms: 5y + -9y = -4y 28 + -3y = 18 + -9y + -1[4 + -4y] 28 + -3y = 18 + -9y + [4 * -1 + -4y * -1] 28 + -3y = 18 + -9y + [-4 + 4y] Reorder the terms: 28 + -3y = 18 + -4 + -9y + 4y Combine like terms: 18 + -4 = 14 28 + -3y = 14 + -9y + 4y Combine like terms: -9y + 4y = -5y 28 + -3y = 14 + -5y Solving 28 + -3y = 14 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 28 + -3y + 5y = 14 + -5y + 5y Combine like terms: -3y + 5y = 2y 28 + 2y = 14 + -5y + 5y Combine like terms: -5y + 5y = 0 28 + 2y = 14 + 0 28 + 2y = 14 Add '-28' to each side of the equation. 28 + -28 + 2y = 14 + -28 Combine like terms: 28 + -28 = 0 0 + 2y = 14 + -28 2y = 14 + -28 Combine like terms: 14 + -28 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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