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Simplifying 2(y + 2) + 3(y + 2) = 5(y + 2) Reorder the terms: 2(2 + y) + 3(y + 2) = 5(y + 2) (2 * 2 + y * 2) + 3(y + 2) = 5(y + 2) (4 + 2y) + 3(y + 2) = 5(y + 2) Reorder the terms: 4 + 2y + 3(2 + y) = 5(y + 2) 4 + 2y + (2 * 3 + y * 3) = 5(y + 2) 4 + 2y + (6 + 3y) = 5(y + 2) Reorder the terms: 4 + 6 + 2y + 3y = 5(y + 2) Combine like terms: 4 + 6 = 10 10 + 2y + 3y = 5(y + 2) Combine like terms: 2y + 3y = 5y 10 + 5y = 5(y + 2) Reorder the terms: 10 + 5y = 5(2 + y) 10 + 5y = (2 * 5 + y * 5) 10 + 5y = (10 + 5y) Add '-10' to each side of the equation. 10 + -10 + 5y = 10 + -10 + 5y Combine like terms: 10 + -10 = 0 0 + 5y = 10 + -10 + 5y 5y = 10 + -10 + 5y Combine like terms: 10 + -10 = 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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