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Simplifying 33 + -1[2 + 7y + -3(y + -4)] = -3(3y + -7) + -1[5(y + -1) + -3y + 11] Reorder the terms: 33 + -1[2 + 7y + -3(-4 + y)] = -3(3y + -7) + -1[5(y + -1) + -3y + 11] 33 + -1[2 + 7y + (-4 * -3 + y * -3)] = -3(3y + -7) + -1[5(y + -1) + -3y + 11] 33 + -1[2 + 7y + (12 + -3y)] = -3(3y + -7) + -1[5(y + -1) + -3y + 11] Reorder the terms: 33 + -1[2 + 12 + 7y + -3y] = -3(3y + -7) + -1[5(y + -1) + -3y + 11] Combine like terms: 2 + 12 = 14 33 + -1[14 + 7y + -3y] = -3(3y + -7) + -1[5(y + -1) + -3y + 11] Combine like terms: 7y + -3y = 4y 33 + -1[14 + 4y] = -3(3y + -7) + -1[5(y + -1) + -3y + 11] 33 + [14 * -1 + 4y * -1] = -3(3y + -7) + -1[5(y + -1) + -3y + 11] 33 + [-14 + -4y] = -3(3y + -7) + -1[5(y + -1) + -3y + 11] Combine like terms: 33 + -14 = 19 19 + -4y = -3(3y + -7) + -1[5(y + -1) + -3y + 11] Reorder the terms: 19 + -4y = -3(-7 + 3y) + -1[5(y + -1) + -3y + 11] 19 + -4y = (-7 * -3 + 3y * -3) + -1[5(y + -1) + -3y + 11] 19 + -4y = (21 + -9y) + -1[5(y + -1) + -3y + 11] Reorder the terms: 19 + -4y = 21 + -9y + -1[5(-1 + y) + -3y + 11] 19 + -4y = 21 + -9y + -1[(-1 * 5 + y * 5) + -3y + 11] 19 + -4y = 21 + -9y + -1[(-5 + 5y) + -3y + 11] Reorder the terms: 19 + -4y = 21 + -9y + -1[-5 + 11 + 5y + -3y] Combine like terms: -5 + 11 = 6 19 + -4y = 21 + -9y + -1[6 + 5y + -3y] Combine like terms: 5y + -3y = 2y 19 + -4y = 21 + -9y + -1[6 + 2y] 19 + -4y = 21 + -9y + [6 * -1 + 2y * -1] 19 + -4y = 21 + -9y + [-6 + -2y] Reorder the terms: 19 + -4y = 21 + -6 + -9y + -2y Combine like terms: 21 + -6 = 15 19 + -4y = 15 + -9y + -2y Combine like terms: -9y + -2y = -11y 19 + -4y = 15 + -11y Solving 19 + -4y = 15 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. 19 + -4y + 11y = 15 + -11y + 11y Combine like terms: -4y + 11y = 7y 19 + 7y = 15 + -11y + 11y Combine like terms: -11y + 11y = 0 19 + 7y = 15 + 0 19 + 7y = 15 Add '-19' to each side of the equation. 19 + -19 + 7y = 15 + -19 Combine like terms: 19 + -19 = 0 0 + 7y = 15 + -19 7y = 15 + -19 Combine like terms: 15 + -19 = -4 7y = -4 Divide each side by '7'. y = -0.5714285714 Simplifying y = -0.5714285714
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