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Simplifying y2 + -8y + 18 = y + -5 Reorder the terms: 18 + -8y + y2 = y + -5 Reorder the terms: 18 + -8y + y2 = -5 + y Solving 18 + -8y + y2 = -5 + y Solving for variable 'y'. Reorder the terms: 18 + 5 + -8y + -1y + y2 = -5 + y + 5 + -1y Combine like terms: 18 + 5 = 23 23 + -8y + -1y + y2 = -5 + y + 5 + -1y Combine like terms: -8y + -1y = -9y 23 + -9y + y2 = -5 + y + 5 + -1y Reorder the terms: 23 + -9y + y2 = -5 + 5 + y + -1y Combine like terms: -5 + 5 = 0 23 + -9y + y2 = 0 + y + -1y 23 + -9y + y2 = y + -1y Combine like terms: y + -1y = 0 23 + -9y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + -9y + -23 + y2 = 0 + -23 Reorder the terms: 23 + -23 + -9y + y2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -9y + y2 = 0 + -23 -9y + y2 = 0 + -23 Combine like terms: 0 + -23 = -23 -9y + y2 = -23 The y term is -9y. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9y + 20.25 + y2 = -23 + 20.25 Reorder the terms: 20.25 + -9y + y2 = -23 + 20.25 Combine like terms: -23 + 20.25 = -2.75 20.25 + -9y + y2 = -2.75 Factor a perfect square on the left side: (y + -4.5)(y + -4.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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