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Simplifying y2 + -13 + 36 = (y + -4) Reorder the terms: -13 + 36 + y2 = (y + -4) Combine like terms: -13 + 36 = 23 23 + y2 = (y + -4) Reorder the terms: 23 + y2 = (-4 + y) Remove parenthesis around (-4 + y) 23 + y2 = -4 + y Solving 23 + y2 = -4 + y Solving for variable 'y'. Reorder the terms: 23 + 4 + -1y + y2 = -4 + y + 4 + -1y Combine like terms: 23 + 4 = 27 27 + -1y + y2 = -4 + y + 4 + -1y Reorder the terms: 27 + -1y + y2 = -4 + 4 + y + -1y Combine like terms: -4 + 4 = 0 27 + -1y + y2 = 0 + y + -1y 27 + -1y + y2 = y + -1y Combine like terms: y + -1y = 0 27 + -1y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -1y + -27 + y2 = 0 + -27 Reorder the terms: 27 + -27 + -1y + y2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1y + y2 = 0 + -27 -1y + y2 = 0 + -27 Combine like terms: 0 + -27 = -27 -1y + y2 = -27 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 = -27 + 0.25 Reorder the terms: 0.25 + -1y + y2 = -27 + 0.25 Combine like terms: -27 + 0.25 = -26.75 0.25 + -1y + y2 = -26.75 Factor a perfect square on the left side: (y + -0.5)(y + -0.5) = -26.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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