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Simplifying 4y + -9 = y2 + 11 Reorder the terms: -9 + 4y = y2 + 11 Reorder the terms: -9 + 4y = 11 + y2 Solving -9 + 4y = 11 + y2 Solving for variable 'y'. Reorder the terms: -9 + -11 + 4y + -1y2 = 11 + y2 + -11 + -1y2 Combine like terms: -9 + -11 = -20 -20 + 4y + -1y2 = 11 + y2 + -11 + -1y2 Reorder the terms: -20 + 4y + -1y2 = 11 + -11 + y2 + -1y2 Combine like terms: 11 + -11 = 0 -20 + 4y + -1y2 = 0 + y2 + -1y2 -20 + 4y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -20 + 4y + -1y2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 20 + -4y + y2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + -4y + -20 + y2 = 0 + -20 Reorder the terms: 20 + -20 + -4y + y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4y + y2 = 0 + -20 -4y + y2 = 0 + -20 Combine like terms: 0 + -20 = -20 -4y + y2 = -20 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 = -20 + 4 Reorder the terms: 4 + -4y + y2 = -20 + 4 Combine like terms: -20 + 4 = -16 4 + -4y + y2 = -16 Factor a perfect square on the left side: (y + -2)(y + -2) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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