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Simplifying 9 + -2[4 + -1(3y + -6)] = 1 Reorder the terms: 9 + -2[4 + -1(-6 + 3y)] = 1 9 + -2[4 + (-6 * -1 + 3y * -1)] = 1 9 + -2[4 + (6 + -3y)] = 1 Combine like terms: 4 + 6 = 10 9 + -2[10 + -3y] = 1 9 + [10 * -2 + -3y * -2] = 1 9 + [-20 + 6y] = 1 Combine like terms: 9 + -20 = -11 -11 + 6y = 1 Solving -11 + 6y = 1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 6y = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 6y = 1 + 11 6y = 1 + 11 Combine like terms: 1 + 11 = 12 6y = 12 Divide each side by '6'. y = 2 Simplifying y = 2
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