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Simplifying 6 + -4[4 + -1(3y + -2)] = 0 Reorder the terms: 6 + -4[4 + -1(-2 + 3y)] = 0 6 + -4[4 + (-2 * -1 + 3y * -1)] = 0 6 + -4[4 + (2 + -3y)] = 0 Combine like terms: 4 + 2 = 6 6 + -4[6 + -3y] = 0 6 + [6 * -4 + -3y * -4] = 0 6 + [-24 + 12y] = 0 Combine like terms: 6 + -24 = -18 -18 + 12y = 0 Solving -18 + 12y = 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 + 12y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 12y = 0 + 18 12y = 0 + 18 Combine like terms: 0 + 18 = 18 12y = 18 Divide each side by '12'. y = 1.5 Simplifying y = 1.5
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