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Simplifying 5 + -2[9 + -1(3y + -2)] = 0 Reorder the terms: 5 + -2[9 + -1(-2 + 3y)] = 0 5 + -2[9 + (-2 * -1 + 3y * -1)] = 0 5 + -2[9 + (2 + -3y)] = 0 Combine like terms: 9 + 2 = 11 5 + -2[11 + -3y] = 0 5 + [11 * -2 + -3y * -2] = 0 5 + [-22 + 6y] = 0 Combine like terms: 5 + -22 = -17 -17 + 6y = 0 Solving -17 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 6y = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 6y = 0 + 17 6y = 0 + 17 Combine like terms: 0 + 17 = 17 6y = 17 Divide each side by '6'. y = 2.833333333 Simplifying y = 2.833333333
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