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Simplifying a + (x + -1b) = c + -1y Reorder the terms: a + (-1b + x) = c + -1y Remove parenthesis around (-1b + x) a + -1b + x = c + -1y Solving a + -1b + x = c + -1y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. a + -1b + b + x = c + b + -1y Combine like terms: -1b + b = 0 a + 0 + x = c + b + -1y a + x = c + b + -1y Reorder the terms: a + x = b + c + -1y Add '-1x' to each side of the equation. a + x + -1x = b + c + -1x + -1y Combine like terms: x + -1x = 0 a + 0 = b + c + -1x + -1y a = b + c + -1x + -1y Simplifying a = b + c + -1x + -1y
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