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Simplifying y + (2(-3 + -1y) + 1) = 5y + (6(-3 + -1y) + 13) y + ((-3 * 2 + -1y * 2) + 1) = 5y + (6(-3 + -1y) + 13) y + ((-6 + -2y) + 1) = 5y + (6(-3 + -1y) + 13) Reorder the terms: y + (-6 + 1 + -2y) = 5y + (6(-3 + -1y) + 13) Combine like terms: -6 + 1 = -5 y + (-5 + -2y) = 5y + (6(-3 + -1y) + 13) Remove parenthesis around (-5 + -2y) y + -5 + -2y = 5y + (6(-3 + -1y) + 13) Reorder the terms: -5 + y + -2y = 5y + (6(-3 + -1y) + 13) Combine like terms: y + -2y = -1y -5 + -1y = 5y + (6(-3 + -1y) + 13) -5 + -1y = 5y + ((-3 * 6 + -1y * 6) + 13) -5 + -1y = 5y + ((-18 + -6y) + 13) Reorder the terms: -5 + -1y = 5y + (-18 + 13 + -6y) Combine like terms: -18 + 13 = -5 -5 + -1y = 5y + (-5 + -6y) Remove parenthesis around (-5 + -6y) -5 + -1y = 5y + -5 + -6y Reorder the terms: -5 + -1y = -5 + 5y + -6y Combine like terms: 5y + -6y = -1y -5 + -1y = -5 + -1y Add '5' to each side of the equation. -5 + 5 + -1y = -5 + 5 + -1y Combine like terms: -5 + 5 = 0 0 + -1y = -5 + 5 + -1y -1y = -5 + 5 + -1y Combine like terms: -5 + 5 = 0 -1y = 0 + -1y -1y = -1y Add 'y' to each side of the equation. -1y + y = -1y + y Combine like terms: -1y + y = 0 0 = -1y + y Combine like terms: -1y + y = 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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