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Simplifying 26 + -1[1 + 6y + -4(y + 4)] = -5(3y + -3) + -1[8(y + -1) + -18y + 4] Reorder the terms: 26 + -1[1 + 6y + -4(4 + y)] = -5(3y + -3) + -1[8(y + -1) + -18y + 4] 26 + -1[1 + 6y + (4 * -4 + y * -4)] = -5(3y + -3) + -1[8(y + -1) + -18y + 4] 26 + -1[1 + 6y + (-16 + -4y)] = -5(3y + -3) + -1[8(y + -1) + -18y + 4] Reorder the terms: 26 + -1[1 + -16 + 6y + -4y] = -5(3y + -3) + -1[8(y + -1) + -18y + 4] Combine like terms: 1 + -16 = -15 26 + -1[-15 + 6y + -4y] = -5(3y + -3) + -1[8(y + -1) + -18y + 4] Combine like terms: 6y + -4y = 2y 26 + -1[-15 + 2y] = -5(3y + -3) + -1[8(y + -1) + -18y + 4] 26 + [-15 * -1 + 2y * -1] = -5(3y + -3) + -1[8(y + -1) + -18y + 4] 26 + [15 + -2y] = -5(3y + -3) + -1[8(y + -1) + -18y + 4] Combine like terms: 26 + 15 = 41 41 + -2y = -5(3y + -3) + -1[8(y + -1) + -18y + 4] Reorder the terms: 41 + -2y = -5(-3 + 3y) + -1[8(y + -1) + -18y + 4] 41 + -2y = (-3 * -5 + 3y * -5) + -1[8(y + -1) + -18y + 4] 41 + -2y = (15 + -15y) + -1[8(y + -1) + -18y + 4] Reorder the terms: 41 + -2y = 15 + -15y + -1[8(-1 + y) + -18y + 4] 41 + -2y = 15 + -15y + -1[(-1 * 8 + y * 8) + -18y + 4] 41 + -2y = 15 + -15y + -1[(-8 + 8y) + -18y + 4] Reorder the terms: 41 + -2y = 15 + -15y + -1[-8 + 4 + 8y + -18y] Combine like terms: -8 + 4 = -4 41 + -2y = 15 + -15y + -1[-4 + 8y + -18y] Combine like terms: 8y + -18y = -10y 41 + -2y = 15 + -15y + -1[-4 + -10y] 41 + -2y = 15 + -15y + [-4 * -1 + -10y * -1] 41 + -2y = 15 + -15y + [4 + 10y] Reorder the terms: 41 + -2y = 15 + 4 + -15y + 10y Combine like terms: 15 + 4 = 19 41 + -2y = 19 + -15y + 10y Combine like terms: -15y + 10y = -5y 41 + -2y = 19 + -5y Solving 41 + -2y = 19 + -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. 41 + -2y + 5y = 19 + -5y + 5y Combine like terms: -2y + 5y = 3y 41 + 3y = 19 + -5y + 5y Combine like terms: -5y + 5y = 0 41 + 3y = 19 + 0 41 + 3y = 19 Add '-41' to each side of the equation. 41 + -41 + 3y = 19 + -41 Combine like terms: 41 + -41 = 0 0 + 3y = 19 + -41 3y = 19 + -41 Combine like terms: 19 + -41 = -22 3y = -22 Divide each side by '3'. y = -7.333333333 Simplifying y = -7.333333333
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