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Simplifying 2y2 + 7 = 4y Reorder the terms: 7 + 2y2 = 4y Solving 7 + 2y2 = 4y Solving for variable 'y'. Reorder the terms: 7 + -4y + 2y2 = 4y + -4y Combine like terms: 4y + -4y = 0 7 + -4y + 2y2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + -2y + y2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -2y + -3.5 + y2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + -2y + y2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -2y + y2 = 0 + -3.5 -2y + y2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 -2y + y2 = -3.5 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 = -3.5 + 1 Reorder the terms: 1 + -2y + y2 = -3.5 + 1 Combine like terms: -3.5 + 1 = -2.5 1 + -2y + y2 = -2.5 Factor a perfect square on the left side: (y + -1)(y + -1) = -2.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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