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Simplifying x2 + y2 + 4y = 12 Reorder the terms: x2 + 4y + y2 = 12 Solving x2 + 4y + y2 = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x2 + 4y + -4y + y2 = 12 + -4y Combine like terms: 4y + -4y = 0 x2 + 0 + y2 = 12 + -4y x2 + y2 = 12 + -4y Add '-1y2' to each side of the equation. x2 + y2 + -1y2 = 12 + -4y + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 = 12 + -4y + -1y2 x2 = 12 + -4y + -1y2 Simplifying x2 = 12 + -4y + -1y2 Reorder the terms: -12 + x2 + 4y + y2 = 12 + -4y + -1y2 + -12 + 4y + y2 Reorder the terms: -12 + x2 + 4y + y2 = 12 + -12 + -4y + 4y + -1y2 + y2 Combine like terms: 12 + -12 = 0 -12 + x2 + 4y + y2 = 0 + -4y + 4y + -1y2 + y2 -12 + x2 + 4y + y2 = -4y + 4y + -1y2 + y2 Combine like terms: -4y + 4y = 0 -12 + x2 + 4y + y2 = 0 + -1y2 + y2 -12 + x2 + 4y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -12 + x2 + 4y + y2 = 0 The solution to this equation could not be determined.
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