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Simplifying 6 + -3[4 + -1(6y + -5)] = 0 Reorder the terms: 6 + -3[4 + -1(-5 + 6y)] = 0 6 + -3[4 + (-5 * -1 + 6y * -1)] = 0 6 + -3[4 + (5 + -6y)] = 0 Combine like terms: 4 + 5 = 9 6 + -3[9 + -6y] = 0 6 + [9 * -3 + -6y * -3] = 0 6 + [-27 + 18y] = 0 Combine like terms: 6 + -27 = -21 -21 + 18y = 0 Solving -21 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 18y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 18y = 0 + 21 18y = 0 + 21 Combine like terms: 0 + 21 = 21 18y = 21 Divide each side by '18'. y = 1.166666667 Simplifying y = 1.166666667
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