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Simplifying 8 + -3[7 + -1(3y + -6)] = 0 Reorder the terms: 8 + -3[7 + -1(-6 + 3y)] = 0 8 + -3[7 + (-6 * -1 + 3y * -1)] = 0 8 + -3[7 + (6 + -3y)] = 0 Combine like terms: 7 + 6 = 13 8 + -3[13 + -3y] = 0 8 + [13 * -3 + -3y * -3] = 0 8 + [-39 + 9y] = 0 Combine like terms: 8 + -39 = -31 -31 + 9y = 0 Solving -31 + 9y = 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 + 9y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 9y = 0 + 31 9y = 0 + 31 Combine like terms: 0 + 31 = 31 9y = 31 Divide each side by '9'. y = 3.444444444 Simplifying y = 3.444444444
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