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Simplifying y2 + -16y + 16 = x2 + y2 + 16y + 16 Reorder the terms: 16 + -16y + y2 = x2 + y2 + 16y + 16 Reorder the terms: 16 + -16y + y2 = 16 + x2 + 16y + y2 Add '-16' to each side of the equation. 16 + -16y + -16 + y2 = 16 + x2 + 16y + -16 + y2 Reorder the terms: 16 + -16 + -16y + y2 = 16 + x2 + 16y + -16 + y2 Combine like terms: 16 + -16 = 0 0 + -16y + y2 = 16 + x2 + 16y + -16 + y2 -16y + y2 = 16 + x2 + 16y + -16 + y2 Reorder the terms: -16y + y2 = 16 + -16 + x2 + 16y + y2 Combine like terms: 16 + -16 = 0 -16y + y2 = 0 + x2 + 16y + y2 -16y + y2 = x2 + 16y + y2 Add '-1y2' to each side of the equation. -16y + y2 + -1y2 = x2 + 16y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -16y + 0 = x2 + 16y + y2 + -1y2 -16y = x2 + 16y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -16y = x2 + 16y + 0 -16y = x2 + 16y Solving -16y = x2 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -16y + -16y = x2 + 16y + -16y Combine like terms: -16y + -16y = -32y -32y = x2 + 16y + -16y Combine like terms: 16y + -16y = 0 -32y = x2 + 0 -32y = x2 Divide each side by '-32'. y = -0.03125x2 Simplifying y = -0.03125x2
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