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Simplifying 25 + -1(2 + 8y + -2(y + 3)) = -3(3y + -4) + -1(8(y + -1) + -4y + 5) Reorder the terms: 25 + -1(2 + 8y + -2(3 + y)) = -3(3y + -4) + -1(8(y + -1) + -4y + 5) 25 + -1(2 + 8y + (3 * -2 + y * -2)) = -3(3y + -4) + -1(8(y + -1) + -4y + 5) 25 + -1(2 + 8y + (-6 + -2y)) = -3(3y + -4) + -1(8(y + -1) + -4y + 5) Reorder the terms: 25 + -1(2 + -6 + 8y + -2y) = -3(3y + -4) + -1(8(y + -1) + -4y + 5) Combine like terms: 2 + -6 = -4 25 + -1(-4 + 8y + -2y) = -3(3y + -4) + -1(8(y + -1) + -4y + 5) Combine like terms: 8y + -2y = 6y 25 + -1(-4 + 6y) = -3(3y + -4) + -1(8(y + -1) + -4y + 5) 25 + (-4 * -1 + 6y * -1) = -3(3y + -4) + -1(8(y + -1) + -4y + 5) 25 + (4 + -6y) = -3(3y + -4) + -1(8(y + -1) + -4y + 5) Combine like terms: 25 + 4 = 29 29 + -6y = -3(3y + -4) + -1(8(y + -1) + -4y + 5) Reorder the terms: 29 + -6y = -3(-4 + 3y) + -1(8(y + -1) + -4y + 5) 29 + -6y = (-4 * -3 + 3y * -3) + -1(8(y + -1) + -4y + 5) 29 + -6y = (12 + -9y) + -1(8(y + -1) + -4y + 5) Reorder the terms: 29 + -6y = 12 + -9y + -1(8(-1 + y) + -4y + 5) 29 + -6y = 12 + -9y + -1((-1 * 8 + y * 8) + -4y + 5) 29 + -6y = 12 + -9y + -1((-8 + 8y) + -4y + 5) Reorder the terms: 29 + -6y = 12 + -9y + -1(-8 + 5 + 8y + -4y) Combine like terms: -8 + 5 = -3 29 + -6y = 12 + -9y + -1(-3 + 8y + -4y) Combine like terms: 8y + -4y = 4y 29 + -6y = 12 + -9y + -1(-3 + 4y) 29 + -6y = 12 + -9y + (-3 * -1 + 4y * -1) 29 + -6y = 12 + -9y + (3 + -4y) Reorder the terms: 29 + -6y = 12 + 3 + -9y + -4y Combine like terms: 12 + 3 = 15 29 + -6y = 15 + -9y + -4y Combine like terms: -9y + -4y = -13y 29 + -6y = 15 + -13y Solving 29 + -6y = 15 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. 29 + -6y + 13y = 15 + -13y + 13y Combine like terms: -6y + 13y = 7y 29 + 7y = 15 + -13y + 13y Combine like terms: -13y + 13y = 0 29 + 7y = 15 + 0 29 + 7y = 15 Add '-29' to each side of the equation. 29 + -29 + 7y = 15 + -29 Combine like terms: 29 + -29 = 0 0 + 7y = 15 + -29 7y = 15 + -29 Combine like terms: 15 + -29 = -14 7y = -14 Divide each side by '7'. y = -2 Simplifying y = -2
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