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Simplifying y2 + 9 = 4y + -12 Reorder the terms: 9 + y2 = 4y + -12 Reorder the terms: 9 + y2 = -12 + 4y Solving 9 + y2 = -12 + 4y Solving for variable 'y'. Reorder the terms: 9 + 12 + -4y + y2 = -12 + 4y + 12 + -4y Combine like terms: 9 + 12 = 21 21 + -4y + y2 = -12 + 4y + 12 + -4y Reorder the terms: 21 + -4y + y2 = -12 + 12 + 4y + -4y Combine like terms: -12 + 12 = 0 21 + -4y + y2 = 0 + 4y + -4y 21 + -4y + y2 = 4y + -4y Combine like terms: 4y + -4y = 0 21 + -4y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + -4y + -21 + y2 = 0 + -21 Reorder the terms: 21 + -21 + -4y + y2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4y + y2 = 0 + -21 -4y + y2 = 0 + -21 Combine like terms: 0 + -21 = -21 -4y + y2 = -21 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 = -21 + 4 Reorder the terms: 4 + -4y + y2 = -21 + 4 Combine like terms: -21 + 4 = -17 4 + -4y + y2 = -17 Factor a perfect square on the left side: (y + -2)(y + -2) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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