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Simplifying y2 + -6y = -34 Reorder the terms: -6y + y2 = -34 Solving -6y + y2 = -34 Solving for variable 'y'. Reorder the terms: 34 + -6y + y2 = -34 + 34 Combine like terms: -34 + 34 = 0 34 + -6y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-34' to each side of the equation. 34 + -6y + -34 + y2 = 0 + -34 Reorder the terms: 34 + -34 + -6y + y2 = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -6y + y2 = 0 + -34 -6y + y2 = 0 + -34 Combine like terms: 0 + -34 = -34 -6y + y2 = -34 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 = -34 + 9 Reorder the terms: 9 + -6y + y2 = -34 + 9 Combine like terms: -34 + 9 = -25 9 + -6y + y2 = -25 Factor a perfect square on the left side: (y + -3)(y + -3) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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