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Simplifying 25 + -1[2 + 5y + -3(y + 2)] = 3(2y + -5y) + -1[5(y + -1) + -3y + 3] Reorder the terms: 25 + -1[2 + 5y + -3(2 + y)] = 3(2y + -5y) + -1[5(y + -1) + -3y + 3] 25 + -1[2 + 5y + (2 * -3 + y * -3)] = 3(2y + -5y) + -1[5(y + -1) + -3y + 3] 25 + -1[2 + 5y + (-6 + -3y)] = 3(2y + -5y) + -1[5(y + -1) + -3y + 3] Reorder the terms: 25 + -1[2 + -6 + 5y + -3y] = 3(2y + -5y) + -1[5(y + -1) + -3y + 3] Combine like terms: 2 + -6 = -4 25 + -1[-4 + 5y + -3y] = 3(2y + -5y) + -1[5(y + -1) + -3y + 3] Combine like terms: 5y + -3y = 2y 25 + -1[-4 + 2y] = 3(2y + -5y) + -1[5(y + -1) + -3y + 3] 25 + [-4 * -1 + 2y * -1] = 3(2y + -5y) + -1[5(y + -1) + -3y + 3] 25 + [4 + -2y] = 3(2y + -5y) + -1[5(y + -1) + -3y + 3] Combine like terms: 25 + 4 = 29 29 + -2y = 3(2y + -5y) + -1[5(y + -1) + -3y + 3] Combine like terms: 2y + -5y = -3y 29 + -2y = 3(-3y) + -1[5(y + -1) + -3y + 3] Remove parenthesis around (-3y) 29 + -2y = 3 * -3y + -1[5(y + -1) + -3y + 3] Multiply 3 * -3 29 + -2y = -9y + -1[5(y + -1) + -3y + 3] Reorder the terms: 29 + -2y = -9y + -1[5(-1 + y) + -3y + 3] 29 + -2y = -9y + -1[(-1 * 5 + y * 5) + -3y + 3] 29 + -2y = -9y + -1[(-5 + 5y) + -3y + 3] Reorder the terms: 29 + -2y = -9y + -1[-5 + 3 + 5y + -3y] Combine like terms: -5 + 3 = -2 29 + -2y = -9y + -1[-2 + 5y + -3y] Combine like terms: 5y + -3y = 2y 29 + -2y = -9y + -1[-2 + 2y] 29 + -2y = -9y + [-2 * -1 + 2y * -1] 29 + -2y = -9y + [2 + -2y] Reorder the terms: 29 + -2y = 2 + -9y + -2y Combine like terms: -9y + -2y = -11y 29 + -2y = 2 + -11y Solving 29 + -2y = 2 + -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. 29 + -2y + 11y = 2 + -11y + 11y Combine like terms: -2y + 11y = 9y 29 + 9y = 2 + -11y + 11y Combine like terms: -11y + 11y = 0 29 + 9y = 2 + 0 29 + 9y = 2 Add '-29' to each side of the equation. 29 + -29 + 9y = 2 + -29 Combine like terms: 29 + -29 = 0 0 + 9y = 2 + -29 9y = 2 + -29 Combine like terms: 2 + -29 = -27 9y = -27 Divide each side by '9'. y = -3 Simplifying y = -3
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