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Simplifying 25 + -1[1 + 8y + -2(y + 4)] = -2(2y + -6) + -1[7(y + -1) + -3y + 3] Reorder the terms: 25 + -1[1 + 8y + -2(4 + y)] = -2(2y + -6) + -1[7(y + -1) + -3y + 3] 25 + -1[1 + 8y + (4 * -2 + y * -2)] = -2(2y + -6) + -1[7(y + -1) + -3y + 3] 25 + -1[1 + 8y + (-8 + -2y)] = -2(2y + -6) + -1[7(y + -1) + -3y + 3] Reorder the terms: 25 + -1[1 + -8 + 8y + -2y] = -2(2y + -6) + -1[7(y + -1) + -3y + 3] Combine like terms: 1 + -8 = -7 25 + -1[-7 + 8y + -2y] = -2(2y + -6) + -1[7(y + -1) + -3y + 3] Combine like terms: 8y + -2y = 6y 25 + -1[-7 + 6y] = -2(2y + -6) + -1[7(y + -1) + -3y + 3] 25 + [-7 * -1 + 6y * -1] = -2(2y + -6) + -1[7(y + -1) + -3y + 3] 25 + [7 + -6y] = -2(2y + -6) + -1[7(y + -1) + -3y + 3] Combine like terms: 25 + 7 = 32 32 + -6y = -2(2y + -6) + -1[7(y + -1) + -3y + 3] Reorder the terms: 32 + -6y = -2(-6 + 2y) + -1[7(y + -1) + -3y + 3] 32 + -6y = (-6 * -2 + 2y * -2) + -1[7(y + -1) + -3y + 3] 32 + -6y = (12 + -4y) + -1[7(y + -1) + -3y + 3] Reorder the terms: 32 + -6y = 12 + -4y + -1[7(-1 + y) + -3y + 3] 32 + -6y = 12 + -4y + -1[(-1 * 7 + y * 7) + -3y + 3] 32 + -6y = 12 + -4y + -1[(-7 + 7y) + -3y + 3] Reorder the terms: 32 + -6y = 12 + -4y + -1[-7 + 3 + 7y + -3y] Combine like terms: -7 + 3 = -4 32 + -6y = 12 + -4y + -1[-4 + 7y + -3y] Combine like terms: 7y + -3y = 4y 32 + -6y = 12 + -4y + -1[-4 + 4y] 32 + -6y = 12 + -4y + [-4 * -1 + 4y * -1] 32 + -6y = 12 + -4y + [4 + -4y] Reorder the terms: 32 + -6y = 12 + 4 + -4y + -4y Combine like terms: 12 + 4 = 16 32 + -6y = 16 + -4y + -4y Combine like terms: -4y + -4y = -8y 32 + -6y = 16 + -8y Solving 32 + -6y = 16 + -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. 32 + -6y + 8y = 16 + -8y + 8y Combine like terms: -6y + 8y = 2y 32 + 2y = 16 + -8y + 8y Combine like terms: -8y + 8y = 0 32 + 2y = 16 + 0 32 + 2y = 16 Add '-32' to each side of the equation. 32 + -32 + 2y = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 16 + -32 2y = 16 + -32 Combine like terms: 16 + -32 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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