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Simplifying y2 + -8y + 31 = 0 Reorder the terms: 31 + -8y + y2 = 0 Solving 31 + -8y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-31' to each side of the equation. 31 + -8y + -31 + y2 = 0 + -31 Reorder the terms: 31 + -31 + -8y + y2 = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -8y + y2 = 0 + -31 -8y + y2 = 0 + -31 Combine like terms: 0 + -31 = -31 -8y + y2 = -31 The y term is -8y. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8y + 16 + y2 = -31 + 16 Reorder the terms: 16 + -8y + y2 = -31 + 16 Combine like terms: -31 + 16 = -15 16 + -8y + y2 = -15 Factor a perfect square on the left side: (y + -4)(y + -4) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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