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Simplifying 4x2 + 7x + 8y2 + -6Y + 4 = 0 Reorder the terms: 4 + -6Y + 7x + 4x2 + 8y2 = 0 Solving 4 + -6Y + 7x + 4x2 + 8y2 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -6Y + 7x + 4x2 + -4 + 8y2 = 0 + -4 Reorder the terms: 4 + -4 + -6Y + 7x + 4x2 + 8y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6Y + 7x + 4x2 + 8y2 = 0 + -4 -6Y + 7x + 4x2 + 8y2 = 0 + -4 Combine like terms: 0 + -4 = -4 -6Y + 7x + 4x2 + 8y2 = -4 Add '-7x' to each side of the equation. -6Y + 7x + 4x2 + -7x + 8y2 = -4 + -7x Reorder the terms: -6Y + 7x + -7x + 4x2 + 8y2 = -4 + -7x Combine like terms: 7x + -7x = 0 -6Y + 0 + 4x2 + 8y2 = -4 + -7x -6Y + 4x2 + 8y2 = -4 + -7x Add '-4x2' to each side of the equation. -6Y + 4x2 + -4x2 + 8y2 = -4 + -7x + -4x2 Combine like terms: 4x2 + -4x2 = 0 -6Y + 0 + 8y2 = -4 + -7x + -4x2 -6Y + 8y2 = -4 + -7x + -4x2 Add '-8y2' to each side of the equation. -6Y + 8y2 + -8y2 = -4 + -7x + -4x2 + -8y2 Combine like terms: 8y2 + -8y2 = 0 -6Y + 0 = -4 + -7x + -4x2 + -8y2 -6Y = -4 + -7x + -4x2 + -8y2 Divide each side by '-6'. Y = 0.6666666667 + 1.166666667x + 0.6666666667x2 + 1.333333333y2 Simplifying Y = 0.6666666667 + 1.166666667x + 0.6666666667x2 + 1.333333333y2
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