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Simplifying 44 + -1[4 + 8y + -2(y + 2)] = -4(3y + -7) + -1[9(y + -1) + -12 + 20] Reorder the terms: 44 + -1[4 + 8y + -2(2 + y)] = -4(3y + -7) + -1[9(y + -1) + -12 + 20] 44 + -1[4 + 8y + (2 * -2 + y * -2)] = -4(3y + -7) + -1[9(y + -1) + -12 + 20] 44 + -1[4 + 8y + (-4 + -2y)] = -4(3y + -7) + -1[9(y + -1) + -12 + 20] Reorder the terms: 44 + -1[4 + -4 + 8y + -2y] = -4(3y + -7) + -1[9(y + -1) + -12 + 20] Combine like terms: 4 + -4 = 0 44 + -1[0 + 8y + -2y] = -4(3y + -7) + -1[9(y + -1) + -12 + 20] 44 + -1[8y + -2y] = -4(3y + -7) + -1[9(y + -1) + -12 + 20] Combine like terms: 8y + -2y = 6y 44 + -1[6y] = -4(3y + -7) + -1[9(y + -1) + -12 + 20] Remove brackets around [6y] 44 + -1 * 6y = -4(3y + -7) + -1[9(y + -1) + -12 + 20] Multiply -1 * 6 44 + -6y = -4(3y + -7) + -1[9(y + -1) + -12 + 20] Reorder the terms: 44 + -6y = -4(-7 + 3y) + -1[9(y + -1) + -12 + 20] 44 + -6y = (-7 * -4 + 3y * -4) + -1[9(y + -1) + -12 + 20] 44 + -6y = (28 + -12y) + -1[9(y + -1) + -12 + 20] Reorder the terms: 44 + -6y = 28 + -12y + -1[9(-1 + y) + -12 + 20] 44 + -6y = 28 + -12y + -1[(-1 * 9 + y * 9) + -12 + 20] 44 + -6y = 28 + -12y + -1[(-9 + 9y) + -12 + 20] Reorder the terms: 44 + -6y = 28 + -12y + -1[-9 + -12 + 20 + 9y] Combine like terms: -9 + -12 = -21 44 + -6y = 28 + -12y + -1[-21 + 20 + 9y] Combine like terms: -21 + 20 = -1 44 + -6y = 28 + -12y + -1[-1 + 9y] 44 + -6y = 28 + -12y + [-1 * -1 + 9y * -1] 44 + -6y = 28 + -12y + [1 + -9y] Reorder the terms: 44 + -6y = 28 + 1 + -12y + -9y Combine like terms: 28 + 1 = 29 44 + -6y = 29 + -12y + -9y Combine like terms: -12y + -9y = -21y 44 + -6y = 29 + -21y Solving 44 + -6y = 29 + -21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21y' to each side of the equation. 44 + -6y + 21y = 29 + -21y + 21y Combine like terms: -6y + 21y = 15y 44 + 15y = 29 + -21y + 21y Combine like terms: -21y + 21y = 0 44 + 15y = 29 + 0 44 + 15y = 29 Add '-44' to each side of the equation. 44 + -44 + 15y = 29 + -44 Combine like terms: 44 + -44 = 0 0 + 15y = 29 + -44 15y = 29 + -44 Combine like terms: 29 + -44 = -15 15y = -15 Divide each side by '15'. y = -1 Simplifying y = -1
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