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Simplifying y2 = 6y + -16 Reorder the terms: y2 = -16 + 6y Solving y2 = -16 + 6y Solving for variable 'y'. Reorder the terms: 16 + -6y + y2 = -16 + 6y + 16 + -6y Reorder the terms: 16 + -6y + y2 = -16 + 16 + 6y + -6y Combine like terms: -16 + 16 = 0 16 + -6y + y2 = 0 + 6y + -6y 16 + -6y + y2 = 6y + -6y Combine like terms: 6y + -6y = 0 16 + -6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-16' to each side of the equation. 16 + -6y + -16 + y2 = 0 + -16 Reorder the terms: 16 + -16 + -6y + y2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -6y + y2 = 0 + -16 -6y + y2 = 0 + -16 Combine like terms: 0 + -16 = -16 -6y + y2 = -16 The y term is -6y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6y + 9 + y2 = -16 + 9 Reorder the terms: 9 + -6y + y2 = -16 + 9 Combine like terms: -16 + 9 = -7 9 + -6y + y2 = -7 Factor a perfect square on the left side: (y + -3)(y + -3) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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