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Simplifying 2 + -3[6 + -1(6y + -9)] = 0 Reorder the terms: 2 + -3[6 + -1(-9 + 6y)] = 0 2 + -3[6 + (-9 * -1 + 6y * -1)] = 0 2 + -3[6 + (9 + -6y)] = 0 Combine like terms: 6 + 9 = 15 2 + -3[15 + -6y] = 0 2 + [15 * -3 + -6y * -3] = 0 2 + [-45 + 18y] = 0 Combine like terms: 2 + -45 = -43 -43 + 18y = 0 Solving -43 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 18y = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 18y = 0 + 43 18y = 0 + 43 Combine like terms: 0 + 43 = 43 18y = 43 Divide each side by '18'. y = 2.388888889 Simplifying y = 2.388888889
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