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Simplifying y2 + 1 = 2y + -10 Reorder the terms: 1 + y2 = 2y + -10 Reorder the terms: 1 + y2 = -10 + 2y Solving 1 + y2 = -10 + 2y Solving for variable 'y'. Reorder the terms: 1 + 10 + -2y + y2 = -10 + 2y + 10 + -2y Combine like terms: 1 + 10 = 11 11 + -2y + y2 = -10 + 2y + 10 + -2y Reorder the terms: 11 + -2y + y2 = -10 + 10 + 2y + -2y Combine like terms: -10 + 10 = 0 11 + -2y + y2 = 0 + 2y + -2y 11 + -2y + y2 = 2y + -2y Combine like terms: 2y + -2y = 0 11 + -2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -2y + -11 + y2 = 0 + -11 Reorder the terms: 11 + -11 + -2y + y2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2y + y2 = 0 + -11 -2y + y2 = 0 + -11 Combine like terms: 0 + -11 = -11 -2y + y2 = -11 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 = -11 + 1 Reorder the terms: 1 + -2y + y2 = -11 + 1 Combine like terms: -11 + 1 = -10 1 + -2y + y2 = -10 Factor a perfect square on the left side: (y + -1)(y + -1) = -10 Can't calculate square root of the right side. The solution to this equation could not be determined.
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