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Simplifying -33 + -1[2 + 5y + -7(y + -2)] = -11(2y + -5) + -1[5(y + -1) + -3y + 3] Reorder the terms: -33 + -1[2 + 5y + -7(-2 + y)] = -11(2y + -5) + -1[5(y + -1) + -3y + 3] -33 + -1[2 + 5y + (-2 * -7 + y * -7)] = -11(2y + -5) + -1[5(y + -1) + -3y + 3] -33 + -1[2 + 5y + (14 + -7y)] = -11(2y + -5) + -1[5(y + -1) + -3y + 3] Reorder the terms: -33 + -1[2 + 14 + 5y + -7y] = -11(2y + -5) + -1[5(y + -1) + -3y + 3] Combine like terms: 2 + 14 = 16 -33 + -1[16 + 5y + -7y] = -11(2y + -5) + -1[5(y + -1) + -3y + 3] Combine like terms: 5y + -7y = -2y -33 + -1[16 + -2y] = -11(2y + -5) + -1[5(y + -1) + -3y + 3] -33 + [16 * -1 + -2y * -1] = -11(2y + -5) + -1[5(y + -1) + -3y + 3] -33 + [-16 + 2y] = -11(2y + -5) + -1[5(y + -1) + -3y + 3] Combine like terms: -33 + -16 = -49 -49 + 2y = -11(2y + -5) + -1[5(y + -1) + -3y + 3] Reorder the terms: -49 + 2y = -11(-5 + 2y) + -1[5(y + -1) + -3y + 3] -49 + 2y = (-5 * -11 + 2y * -11) + -1[5(y + -1) + -3y + 3] -49 + 2y = (55 + -22y) + -1[5(y + -1) + -3y + 3] Reorder the terms: -49 + 2y = 55 + -22y + -1[5(-1 + y) + -3y + 3] -49 + 2y = 55 + -22y + -1[(-1 * 5 + y * 5) + -3y + 3] -49 + 2y = 55 + -22y + -1[(-5 + 5y) + -3y + 3] Reorder the terms: -49 + 2y = 55 + -22y + -1[-5 + 3 + 5y + -3y] Combine like terms: -5 + 3 = -2 -49 + 2y = 55 + -22y + -1[-2 + 5y + -3y] Combine like terms: 5y + -3y = 2y -49 + 2y = 55 + -22y + -1[-2 + 2y] -49 + 2y = 55 + -22y + [-2 * -1 + 2y * -1] -49 + 2y = 55 + -22y + [2 + -2y] Reorder the terms: -49 + 2y = 55 + 2 + -22y + -2y Combine like terms: 55 + 2 = 57 -49 + 2y = 57 + -22y + -2y Combine like terms: -22y + -2y = -24y -49 + 2y = 57 + -24y Solving -49 + 2y = 57 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. -49 + 2y + 24y = 57 + -24y + 24y Combine like terms: 2y + 24y = 26y -49 + 26y = 57 + -24y + 24y Combine like terms: -24y + 24y = 0 -49 + 26y = 57 + 0 -49 + 26y = 57 Add '49' to each side of the equation. -49 + 49 + 26y = 57 + 49 Combine like terms: -49 + 49 = 0 0 + 26y = 57 + 49 26y = 57 + 49 Combine like terms: 57 + 49 = 106 26y = 106 Divide each side by '26'. y = 4.076923077 Simplifying y = 4.076923077
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