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Simplifying (y + 9)(y + -9) = 0 Reorder the terms: (9 + y)(y + -9) = 0 Reorder the terms: (9 + y)(-9 + y) = 0 Multiply (9 + y) * (-9 + y) (9(-9 + y) + y(-9 + y)) = 0 ((-9 * 9 + y * 9) + y(-9 + y)) = 0 ((-81 + 9y) + y(-9 + y)) = 0 (-81 + 9y + (-9 * y + y * y)) = 0 (-81 + 9y + (-9y + y2)) = 0 Combine like terms: 9y + -9y = 0 (-81 + 0 + y2) = 0 (-81 + y2) = 0 Solving -81 + y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + y2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + y2 = 0 + 81 y2 = 0 + 81 Combine like terms: 0 + 81 = 81 y2 = 81 Simplifying y2 = 81 Take the square root of each side: y = {-9, 9}
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