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Simplifying 13y + -1(5 + -2y) = 5(3y + -1) 13y + (5 * -1 + -2y * -1) = 5(3y + -1) 13y + (-5 + 2y) = 5(3y + -1) Reorder the terms: -5 + 13y + 2y = 5(3y + -1) Combine like terms: 13y + 2y = 15y -5 + 15y = 5(3y + -1) Reorder the terms: -5 + 15y = 5(-1 + 3y) -5 + 15y = (-1 * 5 + 3y * 5) -5 + 15y = (-5 + 15y) Add '5' to each side of the equation. -5 + 5 + 15y = -5 + 5 + 15y Combine like terms: -5 + 5 = 0 0 + 15y = -5 + 5 + 15y 15y = -5 + 5 + 15y Combine like terms: -5 + 5 = 0 15y = 0 + 15y 15y = 15y Add '-15y' to each side of the equation. 15y + -15y = 15y + -15y Combine like terms: 15y + -15y = 0 0 = 15y + -15y Combine like terms: 15y + -15y = 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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