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Simplifying x2 + y2 + -8x + 2Y + 53 = 0 Reorder the terms: 53 + 2Y + -8x + x2 + y2 = 0 Solving 53 + 2Y + -8x + x2 + y2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + 2Y + -8x + x2 + -53 + y2 = 0 + -53 Reorder the terms: 53 + -53 + 2Y + -8x + x2 + y2 = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 2Y + -8x + x2 + y2 = 0 + -53 2Y + -8x + x2 + y2 = 0 + -53 Combine like terms: 0 + -53 = -53 2Y + -8x + x2 + y2 = -53 Add '8x' to each side of the equation. 2Y + -8x + x2 + 8x + y2 = -53 + 8x Reorder the terms: 2Y + -8x + 8x + x2 + y2 = -53 + 8x Combine like terms: -8x + 8x = 0 2Y + 0 + x2 + y2 = -53 + 8x 2Y + x2 + y2 = -53 + 8x Add '-1x2' to each side of the equation. 2Y + x2 + -1x2 + y2 = -53 + 8x + -1x2 Combine like terms: x2 + -1x2 = 0 2Y + 0 + y2 = -53 + 8x + -1x2 2Y + y2 = -53 + 8x + -1x2 Add '-1y2' to each side of the equation. 2Y + y2 + -1y2 = -53 + 8x + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 2Y + 0 = -53 + 8x + -1x2 + -1y2 2Y = -53 + 8x + -1x2 + -1y2 Divide each side by '2'. Y = -26.5 + 4x + -0.5x2 + -0.5y2 Simplifying Y = -26.5 + 4x + -0.5x2 + -0.5y2
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