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Simplifying (y + 8)(y + -8) = 0 Reorder the terms: (8 + y)(y + -8) = 0 Reorder the terms: (8 + y)(-8 + y) = 0 Multiply (8 + y) * (-8 + y) (8(-8 + y) + y(-8 + y)) = 0 ((-8 * 8 + y * 8) + y(-8 + y)) = 0 ((-64 + 8y) + y(-8 + y)) = 0 (-64 + 8y + (-8 * y + y * y)) = 0 (-64 + 8y + (-8y + y2)) = 0 Combine like terms: 8y + -8y = 0 (-64 + 0 + y2) = 0 (-64 + y2) = 0 Solving -64 + y2 = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + y2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + y2 = 0 + 64 y2 = 0 + 64 Combine like terms: 0 + 64 = 64 y2 = 64 Simplifying y2 = 64 Take the square root of each side: y = {-8, 8}
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