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Simplifying 2(y + 1) + -5(y + -3) = 7y + 17 + -10y Reorder the terms: 2(1 + y) + -5(y + -3) = 7y + 17 + -10y (1 * 2 + y * 2) + -5(y + -3) = 7y + 17 + -10y (2 + 2y) + -5(y + -3) = 7y + 17 + -10y Reorder the terms: 2 + 2y + -5(-3 + y) = 7y + 17 + -10y 2 + 2y + (-3 * -5 + y * -5) = 7y + 17 + -10y 2 + 2y + (15 + -5y) = 7y + 17 + -10y Reorder the terms: 2 + 15 + 2y + -5y = 7y + 17 + -10y Combine like terms: 2 + 15 = 17 17 + 2y + -5y = 7y + 17 + -10y Combine like terms: 2y + -5y = -3y 17 + -3y = 7y + 17 + -10y Reorder the terms: 17 + -3y = 17 + 7y + -10y Combine like terms: 7y + -10y = -3y 17 + -3y = 17 + -3y Add '-17' to each side of the equation. 17 + -17 + -3y = 17 + -17 + -3y Combine like terms: 17 + -17 = 0 0 + -3y = 17 + -17 + -3y -3y = 17 + -17 + -3y Combine like terms: 17 + -17 = 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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