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Simplifying 36 + -1[1 + 7y + -4(y + 4)] = -4(4y + -6) + -1[8(y + -1) + -16y + 16] Reorder the terms: 36 + -1[1 + 7y + -4(4 + y)] = -4(4y + -6) + -1[8(y + -1) + -16y + 16] 36 + -1[1 + 7y + (4 * -4 + y * -4)] = -4(4y + -6) + -1[8(y + -1) + -16y + 16] 36 + -1[1 + 7y + (-16 + -4y)] = -4(4y + -6) + -1[8(y + -1) + -16y + 16] Reorder the terms: 36 + -1[1 + -16 + 7y + -4y] = -4(4y + -6) + -1[8(y + -1) + -16y + 16] Combine like terms: 1 + -16 = -15 36 + -1[-15 + 7y + -4y] = -4(4y + -6) + -1[8(y + -1) + -16y + 16] Combine like terms: 7y + -4y = 3y 36 + -1[-15 + 3y] = -4(4y + -6) + -1[8(y + -1) + -16y + 16] 36 + [-15 * -1 + 3y * -1] = -4(4y + -6) + -1[8(y + -1) + -16y + 16] 36 + [15 + -3y] = -4(4y + -6) + -1[8(y + -1) + -16y + 16] Combine like terms: 36 + 15 = 51 51 + -3y = -4(4y + -6) + -1[8(y + -1) + -16y + 16] Reorder the terms: 51 + -3y = -4(-6 + 4y) + -1[8(y + -1) + -16y + 16] 51 + -3y = (-6 * -4 + 4y * -4) + -1[8(y + -1) + -16y + 16] 51 + -3y = (24 + -16y) + -1[8(y + -1) + -16y + 16] Reorder the terms: 51 + -3y = 24 + -16y + -1[8(-1 + y) + -16y + 16] 51 + -3y = 24 + -16y + -1[(-1 * 8 + y * 8) + -16y + 16] 51 + -3y = 24 + -16y + -1[(-8 + 8y) + -16y + 16] Reorder the terms: 51 + -3y = 24 + -16y + -1[-8 + 16 + 8y + -16y] Combine like terms: -8 + 16 = 8 51 + -3y = 24 + -16y + -1[8 + 8y + -16y] Combine like terms: 8y + -16y = -8y 51 + -3y = 24 + -16y + -1[8 + -8y] 51 + -3y = 24 + -16y + [8 * -1 + -8y * -1] 51 + -3y = 24 + -16y + [-8 + 8y] Reorder the terms: 51 + -3y = 24 + -8 + -16y + 8y Combine like terms: 24 + -8 = 16 51 + -3y = 16 + -16y + 8y Combine like terms: -16y + 8y = -8y 51 + -3y = 16 + -8y Solving 51 + -3y = 16 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 51 + -3y + 8y = 16 + -8y + 8y Combine like terms: -3y + 8y = 5y 51 + 5y = 16 + -8y + 8y Combine like terms: -8y + 8y = 0 51 + 5y = 16 + 0 51 + 5y = 16 Add '-51' to each side of the equation. 51 + -51 + 5y = 16 + -51 Combine like terms: 51 + -51 = 0 0 + 5y = 16 + -51 5y = 16 + -51 Combine like terms: 16 + -51 = -35 5y = -35 Divide each side by '5'. y = -7 Simplifying y = -7
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