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Simplifying 2xy2 + -1y2 + -1(1 + 3y) = x 2xy2 + -1y2 + (1 * -1 + 3y * -1) = x 2xy2 + -1y2 + (-1 + -3y) = x Reorder the terms: -1 + 2xy2 + -3y + -1y2 = x Solving -1 + 2xy2 + -3y + -1y2 = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 2xy2 + -3y + -1x + -1y2 = x + -1x Reorder the terms: -1 + -1x + 2xy2 + -3y + -1y2 = x + -1x Combine like terms: x + -1x = 0 -1 + -1x + 2xy2 + -3y + -1y2 = 0 Add '1' to each side of the equation. -1 + -1x + 2xy2 + -3y + 1 + -1y2 = 0 + 1 Reorder the terms: -1 + 1 + -1x + 2xy2 + -3y + -1y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + 2xy2 + -3y + -1y2 = 0 + 1 -1x + 2xy2 + -3y + -1y2 = 0 + 1 Combine like terms: 0 + 1 = 1 -1x + 2xy2 + -3y + -1y2 = 1 Add '3y' to each side of the equation. -1x + 2xy2 + -3y + 3y + -1y2 = 1 + 3y Combine like terms: -3y + 3y = 0 -1x + 2xy2 + 0 + -1y2 = 1 + 3y -1x + 2xy2 + -1y2 = 1 + 3y Add 'y2' to each side of the equation. -1x + 2xy2 + -1y2 + y2 = 1 + 3y + y2 Combine like terms: -1y2 + y2 = 0 -1x + 2xy2 + 0 = 1 + 3y + y2 -1x + 2xy2 = 1 + 3y + y2 Reorder the terms: -1 + -1x + 2xy2 + -3y + -1y2 = 1 + 3y + y2 + -1 + -3y + -1y2 Reorder the terms: -1 + -1x + 2xy2 + -3y + -1y2 = 1 + -1 + 3y + -3y + y2 + -1y2 Combine like terms: 1 + -1 = 0 -1 + -1x + 2xy2 + -3y + -1y2 = 0 + 3y + -3y + y2 + -1y2 -1 + -1x + 2xy2 + -3y + -1y2 = 3y + -3y + y2 + -1y2 Combine like terms: 3y + -3y = 0 -1 + -1x + 2xy2 + -3y + -1y2 = 0 + y2 + -1y2 -1 + -1x + 2xy2 + -3y + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 -1 + -1x + 2xy2 + -3y + -1y2 = 0 The solution to this equation could not be determined.
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