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Simplifying y2 + 2y + 1 + -1x = 5 Reorder the terms: 1 + -1x + 2y + y2 = 5 Solving 1 + -1x + 2y + y2 = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1x + 2y + -1 + y2 = 5 + -1 Reorder the terms: 1 + -1 + -1x + 2y + y2 = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -1x + 2y + y2 = 5 + -1 -1x + 2y + y2 = 5 + -1 Combine like terms: 5 + -1 = 4 -1x + 2y + y2 = 4 Add '-2y' to each side of the equation. -1x + 2y + -2y + y2 = 4 + -2y Combine like terms: 2y + -2y = 0 -1x + 0 + y2 = 4 + -2y -1x + y2 = 4 + -2y Add '-1y2' to each side of the equation. -1x + y2 + -1y2 = 4 + -2y + -1y2 Combine like terms: y2 + -1y2 = 0 -1x + 0 = 4 + -2y + -1y2 -1x = 4 + -2y + -1y2 Divide each side by '-1'. x = -4 + 2y + y2 Simplifying x = -4 + 2y + y2
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