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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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