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Simplifying 4 + -2[6 + -1(3y + -4)] = 0 Reorder the terms: 4 + -2[6 + -1(-4 + 3y)] = 0 4 + -2[6 + (-4 * -1 + 3y * -1)] = 0 4 + -2[6 + (4 + -3y)] = 0 Combine like terms: 6 + 4 = 10 4 + -2[10 + -3y] = 0 4 + [10 * -2 + -3y * -2] = 0 4 + [-20 + 6y] = 0 Combine like terms: 4 + -20 = -16 -16 + 6y = 0 Solving -16 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 6y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 6y = 0 + 16 6y = 0 + 16 Combine like terms: 0 + 16 = 16 6y = 16 Divide each side by '6'. y = 2.666666667 Simplifying y = 2.666666667
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