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Simplifying y2 + -4y = -96 Reorder the terms: -4y + y2 = -96 Solving -4y + y2 = -96 Solving for variable 'y'. Reorder the terms: 96 + -4y + y2 = -96 + 96 Combine like terms: -96 + 96 = 0 96 + -4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-96' to each side of the equation. 96 + -4y + -96 + y2 = 0 + -96 Reorder the terms: 96 + -96 + -4y + y2 = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -4y + y2 = 0 + -96 -4y + y2 = 0 + -96 Combine like terms: 0 + -96 = -96 -4y + y2 = -96 The y term is -4y. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4y + 4 + y2 = -96 + 4 Reorder the terms: 4 + -4y + y2 = -96 + 4 Combine like terms: -96 + 4 = -92 4 + -4y + y2 = -92 Factor a perfect square on the left side: (y + -2)(y + -2) = -92 Can't calculate square root of the right side. The solution to this equation could not be determined.
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