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Simplifying 25 + -1[2 + 5y + -3(y + 2)] = 3(2y + -5) + -1[5(y + -1) + -3y + 3] Reorder the terms: 25 + -1[2 + 5y + -3(2 + y)] = 3(2y + -5) + -1[5(y + -1) + -3y + 3] 25 + -1[2 + 5y + (2 * -3 + y * -3)] = 3(2y + -5) + -1[5(y + -1) + -3y + 3] 25 + -1[2 + 5y + (-6 + -3y)] = 3(2y + -5) + -1[5(y + -1) + -3y + 3] Reorder the terms: 25 + -1[2 + -6 + 5y + -3y] = 3(2y + -5) + -1[5(y + -1) + -3y + 3] Combine like terms: 2 + -6 = -4 25 + -1[-4 + 5y + -3y] = 3(2y + -5) + -1[5(y + -1) + -3y + 3] Combine like terms: 5y + -3y = 2y 25 + -1[-4 + 2y] = 3(2y + -5) + -1[5(y + -1) + -3y + 3] 25 + [-4 * -1 + 2y * -1] = 3(2y + -5) + -1[5(y + -1) + -3y + 3] 25 + [4 + -2y] = 3(2y + -5) + -1[5(y + -1) + -3y + 3] Combine like terms: 25 + 4 = 29 29 + -2y = 3(2y + -5) + -1[5(y + -1) + -3y + 3] Reorder the terms: 29 + -2y = 3(-5 + 2y) + -1[5(y + -1) + -3y + 3] 29 + -2y = (-5 * 3 + 2y * 3) + -1[5(y + -1) + -3y + 3] 29 + -2y = (-15 + 6y) + -1[5(y + -1) + -3y + 3] Reorder the terms: 29 + -2y = -15 + 6y + -1[5(-1 + y) + -3y + 3] 29 + -2y = -15 + 6y + -1[(-1 * 5 + y * 5) + -3y + 3] 29 + -2y = -15 + 6y + -1[(-5 + 5y) + -3y + 3] Reorder the terms: 29 + -2y = -15 + 6y + -1[-5 + 3 + 5y + -3y] Combine like terms: -5 + 3 = -2 29 + -2y = -15 + 6y + -1[-2 + 5y + -3y] Combine like terms: 5y + -3y = 2y 29 + -2y = -15 + 6y + -1[-2 + 2y] 29 + -2y = -15 + 6y + [-2 * -1 + 2y * -1] 29 + -2y = -15 + 6y + [2 + -2y] Reorder the terms: 29 + -2y = -15 + 2 + 6y + -2y Combine like terms: -15 + 2 = -13 29 + -2y = -13 + 6y + -2y Combine like terms: 6y + -2y = 4y 29 + -2y = -13 + 4y Solving 29 + -2y = -13 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 29 + -2y + -4y = -13 + 4y + -4y Combine like terms: -2y + -4y = -6y 29 + -6y = -13 + 4y + -4y Combine like terms: 4y + -4y = 0 29 + -6y = -13 + 0 29 + -6y = -13 Add '-29' to each side of the equation. 29 + -29 + -6y = -13 + -29 Combine like terms: 29 + -29 = 0 0 + -6y = -13 + -29 -6y = -13 + -29 Combine like terms: -13 + -29 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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