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Simplifying 4x2 + 8x + 16y2 + -32Y = 44 Reorder the terms: -32Y + 8x + 4x2 + 16y2 = 44 Solving -32Y + 8x + 4x2 + 16y2 = 44 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-8x' to each side of the equation. -32Y + 8x + 4x2 + -8x + 16y2 = 44 + -8x Reorder the terms: -32Y + 8x + -8x + 4x2 + 16y2 = 44 + -8x Combine like terms: 8x + -8x = 0 -32Y + 0 + 4x2 + 16y2 = 44 + -8x -32Y + 4x2 + 16y2 = 44 + -8x Add '-4x2' to each side of the equation. -32Y + 4x2 + -4x2 + 16y2 = 44 + -8x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -32Y + 0 + 16y2 = 44 + -8x + -4x2 -32Y + 16y2 = 44 + -8x + -4x2 Add '-16y2' to each side of the equation. -32Y + 16y2 + -16y2 = 44 + -8x + -4x2 + -16y2 Combine like terms: 16y2 + -16y2 = 0 -32Y + 0 = 44 + -8x + -4x2 + -16y2 -32Y = 44 + -8x + -4x2 + -16y2 Divide each side by '-32'. Y = -1.375 + 0.25x + 0.125x2 + 0.5y2 Simplifying Y = -1.375 + 0.25x + 0.125x2 + 0.5y2
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