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Simplifying 28 + -1[2 + 8y + -3(y + 3)] = -5(3y + -4) + -1[8(y + -1) + -10y + 9] Reorder the terms: 28 + -1[2 + 8y + -3(3 + y)] = -5(3y + -4) + -1[8(y + -1) + -10y + 9] 28 + -1[2 + 8y + (3 * -3 + y * -3)] = -5(3y + -4) + -1[8(y + -1) + -10y + 9] 28 + -1[2 + 8y + (-9 + -3y)] = -5(3y + -4) + -1[8(y + -1) + -10y + 9] Reorder the terms: 28 + -1[2 + -9 + 8y + -3y] = -5(3y + -4) + -1[8(y + -1) + -10y + 9] Combine like terms: 2 + -9 = -7 28 + -1[-7 + 8y + -3y] = -5(3y + -4) + -1[8(y + -1) + -10y + 9] Combine like terms: 8y + -3y = 5y 28 + -1[-7 + 5y] = -5(3y + -4) + -1[8(y + -1) + -10y + 9] 28 + [-7 * -1 + 5y * -1] = -5(3y + -4) + -1[8(y + -1) + -10y + 9] 28 + [7 + -5y] = -5(3y + -4) + -1[8(y + -1) + -10y + 9] Combine like terms: 28 + 7 = 35 35 + -5y = -5(3y + -4) + -1[8(y + -1) + -10y + 9] Reorder the terms: 35 + -5y = -5(-4 + 3y) + -1[8(y + -1) + -10y + 9] 35 + -5y = (-4 * -5 + 3y * -5) + -1[8(y + -1) + -10y + 9] 35 + -5y = (20 + -15y) + -1[8(y + -1) + -10y + 9] Reorder the terms: 35 + -5y = 20 + -15y + -1[8(-1 + y) + -10y + 9] 35 + -5y = 20 + -15y + -1[(-1 * 8 + y * 8) + -10y + 9] 35 + -5y = 20 + -15y + -1[(-8 + 8y) + -10y + 9] Reorder the terms: 35 + -5y = 20 + -15y + -1[-8 + 9 + 8y + -10y] Combine like terms: -8 + 9 = 1 35 + -5y = 20 + -15y + -1[1 + 8y + -10y] Combine like terms: 8y + -10y = -2y 35 + -5y = 20 + -15y + -1[1 + -2y] 35 + -5y = 20 + -15y + [1 * -1 + -2y * -1] 35 + -5y = 20 + -15y + [-1 + 2y] Reorder the terms: 35 + -5y = 20 + -1 + -15y + 2y Combine like terms: 20 + -1 = 19 35 + -5y = 19 + -15y + 2y Combine like terms: -15y + 2y = -13y 35 + -5y = 19 + -13y Solving 35 + -5y = 19 + -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. 35 + -5y + 13y = 19 + -13y + 13y Combine like terms: -5y + 13y = 8y 35 + 8y = 19 + -13y + 13y Combine like terms: -13y + 13y = 0 35 + 8y = 19 + 0 35 + 8y = 19 Add '-35' to each side of the equation. 35 + -35 + 8y = 19 + -35 Combine like terms: 35 + -35 = 0 0 + 8y = 19 + -35 8y = 19 + -35 Combine like terms: 19 + -35 = -16 8y = -16 Divide each side by '8'. y = -2 Simplifying y = -2
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