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Simplifying 3(y + -1) + 13 = 8y + 10 + -5y Reorder the terms: 3(-1 + y) + 13 = 8y + 10 + -5y (-1 * 3 + y * 3) + 13 = 8y + 10 + -5y (-3 + 3y) + 13 = 8y + 10 + -5y Reorder the terms: -3 + 13 + 3y = 8y + 10 + -5y Combine like terms: -3 + 13 = 10 10 + 3y = 8y + 10 + -5y Reorder the terms: 10 + 3y = 10 + 8y + -5y Combine like terms: 8y + -5y = 3y 10 + 3y = 10 + 3y Add '-10' to each side of the equation. 10 + -10 + 3y = 10 + -10 + 3y Combine like terms: 10 + -10 = 0 0 + 3y = 10 + -10 + 3y 3y = 10 + -10 + 3y Combine like terms: 10 + -10 = 0 3y = 0 + 3y 3y = 3y Add '-3y' to each side of the equation. 3y + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 0 = 3y + -3y Combine like terms: 3y + -3y = 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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