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Simplifying y2 + 16 = -1y Reorder the terms: 16 + y2 = -1y Solving 16 + y2 = -1y Solving for variable 'y'. Reorder the terms: 16 + y + y2 = -1y + y Combine like terms: -1y + y = 0 16 + y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + y + -16 + y2 = 0 + -16 Reorder the terms: 16 + -16 + y + y2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + y + y2 = 0 + -16 y + y2 = 0 + -16 Combine like terms: 0 + -16 = -16 y + y2 = -16 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. y + 0.25 + y2 = -16 + 0.25 Reorder the terms: 0.25 + y + y2 = -16 + 0.25 Combine like terms: -16 + 0.25 = -15.75 0.25 + y + y2 = -15.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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