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Simplifying 25 + -1[2 + 5y + -3(y + 2)] = -3(2y + -5) + -1[5(y + -11) + -3y + 3] Reorder the terms: 25 + -1[2 + 5y + -3(2 + y)] = -3(2y + -5) + -1[5(y + -11) + -3y + 3] 25 + -1[2 + 5y + (2 * -3 + y * -3)] = -3(2y + -5) + -1[5(y + -11) + -3y + 3] 25 + -1[2 + 5y + (-6 + -3y)] = -3(2y + -5) + -1[5(y + -11) + -3y + 3] Reorder the terms: 25 + -1[2 + -6 + 5y + -3y] = -3(2y + -5) + -1[5(y + -11) + -3y + 3] Combine like terms: 2 + -6 = -4 25 + -1[-4 + 5y + -3y] = -3(2y + -5) + -1[5(y + -11) + -3y + 3] Combine like terms: 5y + -3y = 2y 25 + -1[-4 + 2y] = -3(2y + -5) + -1[5(y + -11) + -3y + 3] 25 + [-4 * -1 + 2y * -1] = -3(2y + -5) + -1[5(y + -11) + -3y + 3] 25 + [4 + -2y] = -3(2y + -5) + -1[5(y + -11) + -3y + 3] Combine like terms: 25 + 4 = 29 29 + -2y = -3(2y + -5) + -1[5(y + -11) + -3y + 3] Reorder the terms: 29 + -2y = -3(-5 + 2y) + -1[5(y + -11) + -3y + 3] 29 + -2y = (-5 * -3 + 2y * -3) + -1[5(y + -11) + -3y + 3] 29 + -2y = (15 + -6y) + -1[5(y + -11) + -3y + 3] Reorder the terms: 29 + -2y = 15 + -6y + -1[5(-11 + y) + -3y + 3] 29 + -2y = 15 + -6y + -1[(-11 * 5 + y * 5) + -3y + 3] 29 + -2y = 15 + -6y + -1[(-55 + 5y) + -3y + 3] Reorder the terms: 29 + -2y = 15 + -6y + -1[-55 + 3 + 5y + -3y] Combine like terms: -55 + 3 = -52 29 + -2y = 15 + -6y + -1[-52 + 5y + -3y] Combine like terms: 5y + -3y = 2y 29 + -2y = 15 + -6y + -1[-52 + 2y] 29 + -2y = 15 + -6y + [-52 * -1 + 2y * -1] 29 + -2y = 15 + -6y + [52 + -2y] Reorder the terms: 29 + -2y = 15 + 52 + -6y + -2y Combine like terms: 15 + 52 = 67 29 + -2y = 67 + -6y + -2y Combine like terms: -6y + -2y = -8y 29 + -2y = 67 + -8y Solving 29 + -2y = 67 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 29 + -2y + 8y = 67 + -8y + 8y Combine like terms: -2y + 8y = 6y 29 + 6y = 67 + -8y + 8y Combine like terms: -8y + 8y = 0 29 + 6y = 67 + 0 29 + 6y = 67 Add '-29' to each side of the equation. 29 + -29 + 6y = 67 + -29 Combine like terms: 29 + -29 = 0 0 + 6y = 67 + -29 6y = 67 + -29 Combine like terms: 67 + -29 = 38 6y = 38 Divide each side by '6'. y = 6.333333333 Simplifying y = 6.333333333
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