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Simplifying 8 + -3[5 + -1(4y + -8)] = 0 Reorder the terms: 8 + -3[5 + -1(-8 + 4y)] = 0 8 + -3[5 + (-8 * -1 + 4y * -1)] = 0 8 + -3[5 + (8 + -4y)] = 0 Combine like terms: 5 + 8 = 13 8 + -3[13 + -4y] = 0 8 + [13 * -3 + -4y * -3] = 0 8 + [-39 + 12y] = 0 Combine like terms: 8 + -39 = -31 -31 + 12y = 0 Solving -31 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 12y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 12y = 0 + 31 12y = 0 + 31 Combine like terms: 0 + 31 = 31 12y = 31 Divide each side by '12'. y = 2.583333333 Simplifying y = 2.583333333
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