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Simplifying y2 = 2y + -15 Reorder the terms: y2 = -15 + 2y Solving y2 = -15 + 2y Solving for variable 'y'. Reorder the terms: 15 + -2y + y2 = -15 + 2y + 15 + -2y Reorder the terms: 15 + -2y + y2 = -15 + 15 + 2y + -2y Combine like terms: -15 + 15 = 0 15 + -2y + y2 = 0 + 2y + -2y 15 + -2y + y2 = 2y + -2y Combine like terms: 2y + -2y = 0 15 + -2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -2y + -15 + y2 = 0 + -15 Reorder the terms: 15 + -15 + -2y + y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2y + y2 = 0 + -15 -2y + y2 = 0 + -15 Combine like terms: 0 + -15 = -15 -2y + y2 = -15 The y term is -2y. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2y + 1 + y2 = -15 + 1 Reorder the terms: 1 + -2y + y2 = -15 + 1 Combine like terms: -15 + 1 = -14 1 + -2y + y2 = -14 Factor a perfect square on the left side: (y + -1)(y + -1) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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