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Simplifying (2x + -1y) + -1(3y + -2x) = 4x + -4y Remove parenthesis around (2x + -1y) 2x + -1y + -1(3y + -2x) = 4x + -4y Reorder the terms: 2x + -1y + -1(-2x + 3y) = 4x + -4y 2x + -1y + (-2x * -1 + 3y * -1) = 4x + -4y 2x + -1y + (2x + -3y) = 4x + -4y Reorder the terms: 2x + 2x + -1y + -3y = 4x + -4y Combine like terms: 2x + 2x = 4x 4x + -1y + -3y = 4x + -4y Combine like terms: -1y + -3y = -4y 4x + -4y = 4x + -4y Add '-4x' to each side of the equation. 4x + -4x + -4y = 4x + -4x + -4y Combine like terms: 4x + -4x = 0 0 + -4y = 4x + -4x + -4y -4y = 4x + -4x + -4y Combine like terms: 4x + -4x = 0 -4y = 0 + -4y -4y = -4y Add '4y' to each side of the equation. -4y + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 0 = -4y + 4y Combine like terms: -4y + 4y = 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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