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Simplifying 13y + 25 + -1(8y + 5) = 13y + 25 + -1(8y + 5) Reorder the terms: 13y + 25 + -1(5 + 8y) = 13y + 25 + -1(8y + 5) 13y + 25 + (5 * -1 + 8y * -1) = 13y + 25 + -1(8y + 5) 13y + 25 + (-5 + -8y) = 13y + 25 + -1(8y + 5) Reorder the terms: 25 + -5 + 13y + -8y = 13y + 25 + -1(8y + 5) Combine like terms: 25 + -5 = 20 20 + 13y + -8y = 13y + 25 + -1(8y + 5) Combine like terms: 13y + -8y = 5y 20 + 5y = 13y + 25 + -1(8y + 5) Reorder the terms: 20 + 5y = 13y + 25 + -1(5 + 8y) 20 + 5y = 13y + 25 + (5 * -1 + 8y * -1) 20 + 5y = 13y + 25 + (-5 + -8y) Reorder the terms: 20 + 5y = 25 + -5 + 13y + -8y Combine like terms: 25 + -5 = 20 20 + 5y = 20 + 13y + -8y Combine like terms: 13y + -8y = 5y 20 + 5y = 20 + 5y Add '-20' to each side of the equation. 20 + -20 + 5y = 20 + -20 + 5y Combine like terms: 20 + -20 = 0 0 + 5y = 20 + -20 + 5y 5y = 20 + -20 + 5y Combine like terms: 20 + -20 = 0 5y = 0 + 5y 5y = 5y Add '-5y' to each side of the equation. 5y + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 0 = 5y + -5y Combine like terms: 5y + -5y = 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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