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Simplifying -6(y + 1) = 2(1 + -3y) + -8 Reorder the terms: -6(1 + y) = 2(1 + -3y) + -8 (1 * -6 + y * -6) = 2(1 + -3y) + -8 (-6 + -6y) = 2(1 + -3y) + -8 -6 + -6y = (1 * 2 + -3y * 2) + -8 -6 + -6y = (2 + -6y) + -8 Reorder the terms: -6 + -6y = 2 + -8 + -6y Combine like terms: 2 + -8 = -6 -6 + -6y = -6 + -6y Add '6' to each side of the equation. -6 + 6 + -6y = -6 + 6 + -6y Combine like terms: -6 + 6 = 0 0 + -6y = -6 + 6 + -6y -6y = -6 + 6 + -6y Combine like terms: -6 + 6 = 0 -6y = 0 + -6y -6y = -6y Add '6y' to each side of the equation. -6y + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 0 = -6y + 6y Combine like terms: -6y + 6y = 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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