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Simplifying (y + -8)(y + 8) = 63 Reorder the terms: (-8 + y)(y + 8) = 63 Reorder the terms: (-8 + y)(8 + y) = 63 Multiply (-8 + y) * (8 + y) (-8(8 + y) + y(8 + y)) = 63 ((8 * -8 + y * -8) + y(8 + y)) = 63 ((-64 + -8y) + y(8 + y)) = 63 (-64 + -8y + (8 * y + y * y)) = 63 (-64 + -8y + (8y + y2)) = 63 Combine like terms: -8y + 8y = 0 (-64 + 0 + y2) = 63 (-64 + y2) = 63 Solving -64 + y2 = 63 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 = 63 + 64 Combine like terms: -64 + 64 = 0 0 + y2 = 63 + 64 y2 = 63 + 64 Combine like terms: 63 + 64 = 127 y2 = 127 Simplifying y2 = 127 Take the square root of each side: y = {-11.26942767, 11.26942767}
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