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Simplifying y2 = -3 + -2y Solving y2 = -3 + -2y Solving for variable 'y'. Reorder the terms: 3 + 2y + y2 = -3 + -2y + 3 + 2y Reorder the terms: 3 + 2y + y2 = -3 + 3 + -2y + 2y Combine like terms: -3 + 3 = 0 3 + 2y + y2 = 0 + -2y + 2y 3 + 2y + y2 = -2y + 2y Combine like terms: -2y + 2y = 0 3 + 2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + 2y + -3 + y2 = 0 + -3 Reorder the terms: 3 + -3 + 2y + y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y + y2 = 0 + -3 2y + y2 = 0 + -3 Combine like terms: 0 + -3 = -3 2y + y2 = -3 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 = -3 + 1 Reorder the terms: 1 + 2y + y2 = -3 + 1 Combine like terms: -3 + 1 = -2 1 + 2y + y2 = -2 Factor a perfect square on the left side: (y + 1)(y + 1) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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