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Simplifying 2 + (x + -1y) = (x + -1y) + 2 Remove parenthesis around (x + -1y) 2 + x + -1y = (x + -1y) + 2 Remove parenthesis around (x + -1y) 2 + x + -1y = x + -1y + 2 Reorder the terms: 2 + x + -1y = 2 + x + -1y Add '-2' to each side of the equation. 2 + x + -2 + -1y = 2 + x + -2 + -1y Reorder the terms: 2 + -2 + x + -1y = 2 + x + -2 + -1y Combine like terms: 2 + -2 = 0 0 + x + -1y = 2 + x + -2 + -1y x + -1y = 2 + x + -2 + -1y Reorder the terms: x + -1y = 2 + -2 + x + -1y Combine like terms: 2 + -2 = 0 x + -1y = 0 + x + -1y x + -1y = x + -1y Add '-1x' to each side of the equation. x + -1x + -1y = x + -1x + -1y Combine like terms: x + -1x = 0 0 + -1y = x + -1x + -1y -1y = x + -1x + -1y Combine like terms: x + -1x = 0 -1y = 0 + -1y -1y = -1y Add 'y' to each side of the equation. -1y + y = -1y + y Combine like terms: -1y + y = 0 0 = -1y + y Combine like terms: -1y + y = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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