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Simplifying 24 + -1[5 + 6y + -3(y + 3)] = -4(5y + -7) + -1[6(y + -1) + -16y + 20] Reorder the terms: 24 + -1[5 + 6y + -3(3 + y)] = -4(5y + -7) + -1[6(y + -1) + -16y + 20] 24 + -1[5 + 6y + (3 * -3 + y * -3)] = -4(5y + -7) + -1[6(y + -1) + -16y + 20] 24 + -1[5 + 6y + (-9 + -3y)] = -4(5y + -7) + -1[6(y + -1) + -16y + 20] Reorder the terms: 24 + -1[5 + -9 + 6y + -3y] = -4(5y + -7) + -1[6(y + -1) + -16y + 20] Combine like terms: 5 + -9 = -4 24 + -1[-4 + 6y + -3y] = -4(5y + -7) + -1[6(y + -1) + -16y + 20] Combine like terms: 6y + -3y = 3y 24 + -1[-4 + 3y] = -4(5y + -7) + -1[6(y + -1) + -16y + 20] 24 + [-4 * -1 + 3y * -1] = -4(5y + -7) + -1[6(y + -1) + -16y + 20] 24 + [4 + -3y] = -4(5y + -7) + -1[6(y + -1) + -16y + 20] Combine like terms: 24 + 4 = 28 28 + -3y = -4(5y + -7) + -1[6(y + -1) + -16y + 20] Reorder the terms: 28 + -3y = -4(-7 + 5y) + -1[6(y + -1) + -16y + 20] 28 + -3y = (-7 * -4 + 5y * -4) + -1[6(y + -1) + -16y + 20] 28 + -3y = (28 + -20y) + -1[6(y + -1) + -16y + 20] Reorder the terms: 28 + -3y = 28 + -20y + -1[6(-1 + y) + -16y + 20] 28 + -3y = 28 + -20y + -1[(-1 * 6 + y * 6) + -16y + 20] 28 + -3y = 28 + -20y + -1[(-6 + 6y) + -16y + 20] Reorder the terms: 28 + -3y = 28 + -20y + -1[-6 + 20 + 6y + -16y] Combine like terms: -6 + 20 = 14 28 + -3y = 28 + -20y + -1[14 + 6y + -16y] Combine like terms: 6y + -16y = -10y 28 + -3y = 28 + -20y + -1[14 + -10y] 28 + -3y = 28 + -20y + [14 * -1 + -10y * -1] 28 + -3y = 28 + -20y + [-14 + 10y] Reorder the terms: 28 + -3y = 28 + -14 + -20y + 10y Combine like terms: 28 + -14 = 14 28 + -3y = 14 + -20y + 10y Combine like terms: -20y + 10y = -10y 28 + -3y = 14 + -10y Solving 28 + -3y = 14 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 28 + -3y + 10y = 14 + -10y + 10y Combine like terms: -3y + 10y = 7y 28 + 7y = 14 + -10y + 10y Combine like terms: -10y + 10y = 0 28 + 7y = 14 + 0 28 + 7y = 14 Add '-28' to each side of the equation. 28 + -28 + 7y = 14 + -28 Combine like terms: 28 + -28 = 0 0 + 7y = 14 + -28 7y = 14 + -28 Combine like terms: 14 + -28 = -14 7y = -14 Divide each side by '7'. y = -2 Simplifying y = -2
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