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Simplifying 7y2 + 8 + -3y2 + -1 + y = 0 Reorder the terms: 8 + -1 + y + 7y2 + -3y2 = 0 Combine like terms: 8 + -1 = 7 7 + y + 7y2 + -3y2 = 0 Combine like terms: 7y2 + -3y2 = 4y2 7 + y + 4y2 = 0 Solving 7 + y + 4y2 = 0 Solving for variable 'y'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + 0.25y + y2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + 0.25y + -1.75 + y2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + 0.25y + y2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + 0.25y + y2 = 0 + -1.75 0.25y + y2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 0.25y + y2 = -1.75 The y term is y. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.25y + 0.25 + y2 = -1.75 + 0.25 Reorder the terms: 0.25 + 0.25y + y2 = -1.75 + 0.25 Combine like terms: -1.75 + 0.25 = -1.5 0.25 + 0.25y + y2 = -1.5 Factor a perfect square on the left side: (y + 0.5)(y + 0.5) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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