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Simplifying y2 = -2y + -16 Reorder the terms: y2 = -16 + -2y Solving y2 = -16 + -2y Solving for variable 'y'. Reorder the terms: 16 + 2y + y2 = -16 + -2y + 16 + 2y Reorder the terms: 16 + 2y + y2 = -16 + 16 + -2y + 2y Combine like terms: -16 + 16 = 0 16 + 2y + y2 = 0 + -2y + 2y 16 + 2y + y2 = -2y + 2y Combine like terms: -2y + 2y = 0 16 + 2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + 2y + -16 + y2 = 0 + -16 Reorder the terms: 16 + -16 + 2y + y2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2y + y2 = 0 + -16 2y + y2 = 0 + -16 Combine like terms: 0 + -16 = -16 2y + y2 = -16 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 = -16 + 1 Reorder the terms: 1 + 2y + y2 = -16 + 1 Combine like terms: -16 + 1 = -15 1 + 2y + y2 = -15 Factor a perfect square on the left side: (y + 1)(y + 1) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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