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Simplifying y2 + y + 56 = 6 Reorder the terms: 56 + y + y2 = 6 Solving 56 + y + y2 = 6 Solving for variable 'y'. Reorder the terms: 56 + -6 + y + y2 = 6 + -6 Combine like terms: 56 + -6 = 50 50 + y + y2 = 6 + -6 Combine like terms: 6 + -6 = 0 50 + y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + y + -50 + y2 = 0 + -50 Reorder the terms: 50 + -50 + y + y2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + y + y2 = 0 + -50 y + y2 = 0 + -50 Combine like terms: 0 + -50 = -50 y + y2 = -50 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 = -50 + 0.25 Reorder the terms: 0.25 + y + y2 = -50 + 0.25 Combine like terms: -50 + 0.25 = -49.75 0.25 + y + y2 = -49.75 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -49.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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