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Simplifying 18 + -1[5 + 9y + -4(y + 5)] = -5(4y + -3) + -1[9(y + -1) + -22y + 5] Reorder the terms: 18 + -1[5 + 9y + -4(5 + y)] = -5(4y + -3) + -1[9(y + -1) + -22y + 5] 18 + -1[5 + 9y + (5 * -4 + y * -4)] = -5(4y + -3) + -1[9(y + -1) + -22y + 5] 18 + -1[5 + 9y + (-20 + -4y)] = -5(4y + -3) + -1[9(y + -1) + -22y + 5] Reorder the terms: 18 + -1[5 + -20 + 9y + -4y] = -5(4y + -3) + -1[9(y + -1) + -22y + 5] Combine like terms: 5 + -20 = -15 18 + -1[-15 + 9y + -4y] = -5(4y + -3) + -1[9(y + -1) + -22y + 5] Combine like terms: 9y + -4y = 5y 18 + -1[-15 + 5y] = -5(4y + -3) + -1[9(y + -1) + -22y + 5] 18 + [-15 * -1 + 5y * -1] = -5(4y + -3) + -1[9(y + -1) + -22y + 5] 18 + [15 + -5y] = -5(4y + -3) + -1[9(y + -1) + -22y + 5] Combine like terms: 18 + 15 = 33 33 + -5y = -5(4y + -3) + -1[9(y + -1) + -22y + 5] Reorder the terms: 33 + -5y = -5(-3 + 4y) + -1[9(y + -1) + -22y + 5] 33 + -5y = (-3 * -5 + 4y * -5) + -1[9(y + -1) + -22y + 5] 33 + -5y = (15 + -20y) + -1[9(y + -1) + -22y + 5] Reorder the terms: 33 + -5y = 15 + -20y + -1[9(-1 + y) + -22y + 5] 33 + -5y = 15 + -20y + -1[(-1 * 9 + y * 9) + -22y + 5] 33 + -5y = 15 + -20y + -1[(-9 + 9y) + -22y + 5] Reorder the terms: 33 + -5y = 15 + -20y + -1[-9 + 5 + 9y + -22y] Combine like terms: -9 + 5 = -4 33 + -5y = 15 + -20y + -1[-4 + 9y + -22y] Combine like terms: 9y + -22y = -13y 33 + -5y = 15 + -20y + -1[-4 + -13y] 33 + -5y = 15 + -20y + [-4 * -1 + -13y * -1] 33 + -5y = 15 + -20y + [4 + 13y] Reorder the terms: 33 + -5y = 15 + 4 + -20y + 13y Combine like terms: 15 + 4 = 19 33 + -5y = 19 + -20y + 13y Combine like terms: -20y + 13y = -7y 33 + -5y = 19 + -7y Solving 33 + -5y = 19 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 33 + -5y + 7y = 19 + -7y + 7y Combine like terms: -5y + 7y = 2y 33 + 2y = 19 + -7y + 7y Combine like terms: -7y + 7y = 0 33 + 2y = 19 + 0 33 + 2y = 19 Add '-33' to each side of the equation. 33 + -33 + 2y = 19 + -33 Combine like terms: 33 + -33 = 0 0 + 2y = 19 + -33 2y = 19 + -33 Combine like terms: 19 + -33 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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