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Simplifying y2 + 6y + -9 + -6y + 18 + 13 + -1y = 0 Reorder the terms: -9 + 18 + 13 + 6y + -6y + -1y + y2 = 0 Combine like terms: -9 + 18 = 9 9 + 13 + 6y + -6y + -1y + y2 = 0 Combine like terms: 9 + 13 = 22 22 + 6y + -6y + -1y + y2 = 0 Combine like terms: 6y + -6y = 0 22 + 0 + -1y + y2 = 0 22 + -1y + y2 = 0 Solving 22 + -1y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-22' to each side of the equation. 22 + -1y + -22 + y2 = 0 + -22 Reorder the terms: 22 + -22 + -1y + y2 = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1y + y2 = 0 + -22 -1y + y2 = 0 + -22 Combine like terms: 0 + -22 = -22 -1y + y2 = -22 The y term is -1y. 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. -1y + 0.25 + y2 = -22 + 0.25 Reorder the terms: 0.25 + -1y + y2 = -22 + 0.25 Combine like terms: -22 + 0.25 = -21.75 0.25 + -1y + y2 = -21.75 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = -21.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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