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