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Simplifying 2(12 + -1y) = 23 + -1(2y + -1) (12 * 2 + -1y * 2) = 23 + -1(2y + -1) (24 + -2y) = 23 + -1(2y + -1) Reorder the terms: 24 + -2y = 23 + -1(-1 + 2y) 24 + -2y = 23 + (-1 * -1 + 2y * -1) 24 + -2y = 23 + (1 + -2y) Combine like terms: 23 + 1 = 24 24 + -2y = 24 + -2y Add '-24' to each side of the equation. 24 + -24 + -2y = 24 + -24 + -2y Combine like terms: 24 + -24 = 0 0 + -2y = 24 + -24 + -2y -2y = 24 + -24 + -2y Combine like terms: 24 + -24 = 0 -2y = 0 + -2y -2y = -2y Add '2y' to each side of the equation. -2y + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 0 = -2y + 2y Combine like terms: -2y + 2y = 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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