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Simplifying (2 + -1x) + y = 2 + (y + -1x) Remove parenthesis around (2 + -1x) 2 + -1x + y = 2 + (y + -1x) Reorder the terms: 2 + -1x + y = 2 + (-1x + y) Remove parenthesis around (-1x + y) 2 + -1x + y = 2 + -1x + y Add '-2' to each side of the equation. 2 + -1x + -2 + y = 2 + -1x + -2 + y Reorder the terms: 2 + -2 + -1x + y = 2 + -1x + -2 + y Combine like terms: 2 + -2 = 0 0 + -1x + y = 2 + -1x + -2 + y -1x + y = 2 + -1x + -2 + y Reorder the terms: -1x + y = 2 + -2 + -1x + y Combine like terms: 2 + -2 = 0 -1x + y = 0 + -1x + y -1x + y = -1x + y Add 'x' to each side of the equation. -1x + x + y = -1x + x + y Combine like terms: -1x + x = 0 0 + y = -1x + x + y y = -1x + x + y Combine like terms: -1x + x = 0 y = 0 + y y = y Add '-1y' to each side of the equation. y + -1y = y + -1y Combine like terms: y + -1y = 0 0 = y + -1y Combine like terms: y + -1y = 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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