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Simplifying 6 + -3[4 + -1(3y + -4)] = 0 Reorder the terms: 6 + -3[4 + -1(-4 + 3y)] = 0 6 + -3[4 + (-4 * -1 + 3y * -1)] = 0 6 + -3[4 + (4 + -3y)] = 0 Combine like terms: 4 + 4 = 8 6 + -3[8 + -3y] = 0 6 + [8 * -3 + -3y * -3] = 0 6 + [-24 + 9y] = 0 Combine like terms: 6 + -24 = -18 -18 + 9y = 0 Solving -18 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 9y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 9y = 0 + 18 9y = 0 + 18 Combine like terms: 0 + 18 = 18 9y = 18 Divide each side by '9'. y = 2 Simplifying y = 2
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