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Simplifying 16 + -4y + -4y + y + y2 = 2 Combine like terms: -4y + -4y = -8y 16 + -8y + y + y2 = 2 Combine like terms: -8y + y = -7y 16 + -7y + y2 = 2 Solving 16 + -7y + y2 = 2 Solving for variable 'y'. Reorder the terms: 16 + -2 + -7y + y2 = 2 + -2 Combine like terms: 16 + -2 = 14 14 + -7y + y2 = 2 + -2 Combine like terms: 2 + -2 = 0 14 + -7y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -7y + -14 + y2 = 0 + -14 Reorder the terms: 14 + -14 + -7y + y2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -7y + y2 = 0 + -14 -7y + y2 = 0 + -14 Combine like terms: 0 + -14 = -14 -7y + y2 = -14 The y term is -7y. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7y + 12.25 + y2 = -14 + 12.25 Reorder the terms: 12.25 + -7y + y2 = -14 + 12.25 Combine like terms: -14 + 12.25 = -1.75 12.25 + -7y + y2 = -1.75 Factor a perfect square on the left side: (y + -3.5)(y + -3.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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