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Simplifying 25 + -1[4 + 8y + -4(y + 5)] = -4(5y + -5) + -1[8(y + -1) + -16y + 11] Reorder the terms: 25 + -1[4 + 8y + -4(5 + y)] = -4(5y + -5) + -1[8(y + -1) + -16y + 11] 25 + -1[4 + 8y + (5 * -4 + y * -4)] = -4(5y + -5) + -1[8(y + -1) + -16y + 11] 25 + -1[4 + 8y + (-20 + -4y)] = -4(5y + -5) + -1[8(y + -1) + -16y + 11] Reorder the terms: 25 + -1[4 + -20 + 8y + -4y] = -4(5y + -5) + -1[8(y + -1) + -16y + 11] Combine like terms: 4 + -20 = -16 25 + -1[-16 + 8y + -4y] = -4(5y + -5) + -1[8(y + -1) + -16y + 11] Combine like terms: 8y + -4y = 4y 25 + -1[-16 + 4y] = -4(5y + -5) + -1[8(y + -1) + -16y + 11] 25 + [-16 * -1 + 4y * -1] = -4(5y + -5) + -1[8(y + -1) + -16y + 11] 25 + [16 + -4y] = -4(5y + -5) + -1[8(y + -1) + -16y + 11] Combine like terms: 25 + 16 = 41 41 + -4y = -4(5y + -5) + -1[8(y + -1) + -16y + 11] Reorder the terms: 41 + -4y = -4(-5 + 5y) + -1[8(y + -1) + -16y + 11] 41 + -4y = (-5 * -4 + 5y * -4) + -1[8(y + -1) + -16y + 11] 41 + -4y = (20 + -20y) + -1[8(y + -1) + -16y + 11] Reorder the terms: 41 + -4y = 20 + -20y + -1[8(-1 + y) + -16y + 11] 41 + -4y = 20 + -20y + -1[(-1 * 8 + y * 8) + -16y + 11] 41 + -4y = 20 + -20y + -1[(-8 + 8y) + -16y + 11] Reorder the terms: 41 + -4y = 20 + -20y + -1[-8 + 11 + 8y + -16y] Combine like terms: -8 + 11 = 3 41 + -4y = 20 + -20y + -1[3 + 8y + -16y] Combine like terms: 8y + -16y = -8y 41 + -4y = 20 + -20y + -1[3 + -8y] 41 + -4y = 20 + -20y + [3 * -1 + -8y * -1] 41 + -4y = 20 + -20y + [-3 + 8y] Reorder the terms: 41 + -4y = 20 + -3 + -20y + 8y Combine like terms: 20 + -3 = 17 41 + -4y = 17 + -20y + 8y Combine like terms: -20y + 8y = -12y 41 + -4y = 17 + -12y Solving 41 + -4y = 17 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. 41 + -4y + 12y = 17 + -12y + 12y Combine like terms: -4y + 12y = 8y 41 + 8y = 17 + -12y + 12y Combine like terms: -12y + 12y = 0 41 + 8y = 17 + 0 41 + 8y = 17 Add '-41' to each side of the equation. 41 + -41 + 8y = 17 + -41 Combine like terms: 41 + -41 = 0 0 + 8y = 17 + -41 8y = 17 + -41 Combine like terms: 17 + -41 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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