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Simplifying 10 + -1[1 + 10y + -4(y + 4)] = -2(4y + -4) + -1[9(y + -1) + -4y + 6] Reorder the terms: 10 + -1[1 + 10y + -4(4 + y)] = -2(4y + -4) + -1[9(y + -1) + -4y + 6] 10 + -1[1 + 10y + (4 * -4 + y * -4)] = -2(4y + -4) + -1[9(y + -1) + -4y + 6] 10 + -1[1 + 10y + (-16 + -4y)] = -2(4y + -4) + -1[9(y + -1) + -4y + 6] Reorder the terms: 10 + -1[1 + -16 + 10y + -4y] = -2(4y + -4) + -1[9(y + -1) + -4y + 6] Combine like terms: 1 + -16 = -15 10 + -1[-15 + 10y + -4y] = -2(4y + -4) + -1[9(y + -1) + -4y + 6] Combine like terms: 10y + -4y = 6y 10 + -1[-15 + 6y] = -2(4y + -4) + -1[9(y + -1) + -4y + 6] 10 + [-15 * -1 + 6y * -1] = -2(4y + -4) + -1[9(y + -1) + -4y + 6] 10 + [15 + -6y] = -2(4y + -4) + -1[9(y + -1) + -4y + 6] Combine like terms: 10 + 15 = 25 25 + -6y = -2(4y + -4) + -1[9(y + -1) + -4y + 6] Reorder the terms: 25 + -6y = -2(-4 + 4y) + -1[9(y + -1) + -4y + 6] 25 + -6y = (-4 * -2 + 4y * -2) + -1[9(y + -1) + -4y + 6] 25 + -6y = (8 + -8y) + -1[9(y + -1) + -4y + 6] Reorder the terms: 25 + -6y = 8 + -8y + -1[9(-1 + y) + -4y + 6] 25 + -6y = 8 + -8y + -1[(-1 * 9 + y * 9) + -4y + 6] 25 + -6y = 8 + -8y + -1[(-9 + 9y) + -4y + 6] Reorder the terms: 25 + -6y = 8 + -8y + -1[-9 + 6 + 9y + -4y] Combine like terms: -9 + 6 = -3 25 + -6y = 8 + -8y + -1[-3 + 9y + -4y] Combine like terms: 9y + -4y = 5y 25 + -6y = 8 + -8y + -1[-3 + 5y] 25 + -6y = 8 + -8y + [-3 * -1 + 5y * -1] 25 + -6y = 8 + -8y + [3 + -5y] Reorder the terms: 25 + -6y = 8 + 3 + -8y + -5y Combine like terms: 8 + 3 = 11 25 + -6y = 11 + -8y + -5y Combine like terms: -8y + -5y = -13y 25 + -6y = 11 + -13y Solving 25 + -6y = 11 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. 25 + -6y + 13y = 11 + -13y + 13y Combine like terms: -6y + 13y = 7y 25 + 7y = 11 + -13y + 13y Combine like terms: -13y + 13y = 0 25 + 7y = 11 + 0 25 + 7y = 11 Add '-25' to each side of the equation. 25 + -25 + 7y = 11 + -25 Combine like terms: 25 + -25 = 0 0 + 7y = 11 + -25 7y = 11 + -25 Combine like terms: 11 + -25 = -14 7y = -14 Divide each side by '7'. y = -2 Simplifying y = -2
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