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Simplifying 6 + -3[4 + -1(3y + -2)] = 0 Reorder the terms: 6 + -3[4 + -1(-2 + 3y)] = 0 6 + -3[4 + (-2 * -1 + 3y * -1)] = 0 6 + -3[4 + (2 + -3y)] = 0 Combine like terms: 4 + 2 = 6 6 + -3[6 + -3y] = 0 6 + [6 * -3 + -3y * -3] = 0 6 + [-18 + 9y] = 0 Combine like terms: 6 + -18 = -12 -12 + 9y = 0 Solving -12 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 9y = 0 + 12 9y = 0 + 12 Combine like terms: 0 + 12 = 12 9y = 12 Divide each side by '9'. y = 1.333333333 Simplifying y = 1.333333333
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