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Simplifying 12y + -1(3y + -1) = 12y + -3y + 1 Reorder the terms: 12y + -1(-1 + 3y) = 12y + -3y + 1 12y + (-1 * -1 + 3y * -1) = 12y + -3y + 1 12y + (1 + -3y) = 12y + -3y + 1 Reorder the terms: 1 + 12y + -3y = 12y + -3y + 1 Combine like terms: 12y + -3y = 9y 1 + 9y = 12y + -3y + 1 Reorder the terms: 1 + 9y = 1 + 12y + -3y Combine like terms: 12y + -3y = 9y 1 + 9y = 1 + 9y Add '-1' to each side of the equation. 1 + -1 + 9y = 1 + -1 + 9y Combine like terms: 1 + -1 = 0 0 + 9y = 1 + -1 + 9y 9y = 1 + -1 + 9y Combine like terms: 1 + -1 = 0 9y = 0 + 9y 9y = 9y Add '-9y' to each side of the equation. 9y + -9y = 9y + -9y Combine like terms: 9y + -9y = 0 0 = 9y + -9y Combine like terms: 9y + -9y = 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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