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Simplifying (1 + -2y)(1 + 2y) = 0 Multiply (1 + -2y) * (1 + 2y) (1(1 + 2y) + -2y * (1 + 2y)) = 0 ((1 * 1 + 2y * 1) + -2y * (1 + 2y)) = 0 ((1 + 2y) + -2y * (1 + 2y)) = 0 (1 + 2y + (1 * -2y + 2y * -2y)) = 0 (1 + 2y + (-2y + -4y2)) = 0 Combine like terms: 2y + -2y = 0 (1 + 0 + -4y2) = 0 (1 + -4y2) = 0 Solving 1 + -4y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y2 = 0 + -1 -4y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -4y2 = -1 Divide each side by '-4'. y2 = 0.25 Simplifying y2 = 0.25 Take the square root of each side: y = {-0.5, 0.5}
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