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Simplifying 2 + -2[3 + -1(4y + -2)] = 0 Reorder the terms: 2 + -2[3 + -1(-2 + 4y)] = 0 2 + -2[3 + (-2 * -1 + 4y * -1)] = 0 2 + -2[3 + (2 + -4y)] = 0 Combine like terms: 3 + 2 = 5 2 + -2[5 + -4y] = 0 2 + [5 * -2 + -4y * -2] = 0 2 + [-10 + 8y] = 0 Combine like terms: 2 + -10 = -8 -8 + 8y = 0 Solving -8 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 8y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8y = 0 + 8 8y = 0 + 8 Combine like terms: 0 + 8 = 8 8y = 8 Divide each side by '8'. y = 1 Simplifying y = 1
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