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Simplifying y2 + 8x + 16 = -8x + 16 Reorder the terms: 16 + 8x + y2 = -8x + 16 Reorder the terms: 16 + 8x + y2 = 16 + -8x Add '-16' to each side of the equation. 16 + 8x + -16 + y2 = 16 + -16 + -8x Reorder the terms: 16 + -16 + 8x + y2 = 16 + -16 + -8x Combine like terms: 16 + -16 = 0 0 + 8x + y2 = 16 + -16 + -8x 8x + y2 = 16 + -16 + -8x Combine like terms: 16 + -16 = 0 8x + y2 = 0 + -8x 8x + y2 = -8x Solving 8x + y2 = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8x + 8x + y2 = -8x + 8x Combine like terms: 8x + 8x = 16x 16x + y2 = -8x + 8x Combine like terms: -8x + 8x = 0 16x + y2 = 0 Add '-1y2' to each side of the equation. 16x + y2 + -1y2 = 0 + -1y2 Combine like terms: y2 + -1y2 = 0 16x + 0 = 0 + -1y2 16x = 0 + -1y2 Remove the zero: 16x = -1y2 Divide each side by '16'. x = -0.0625y2 Simplifying x = -0.0625y2
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