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Simplifying 2(3y + 5) + 9 = 6(y + 3) + 1 Reorder the terms: 2(5 + 3y) + 9 = 6(y + 3) + 1 (5 * 2 + 3y * 2) + 9 = 6(y + 3) + 1 (10 + 6y) + 9 = 6(y + 3) + 1 Reorder the terms: 10 + 9 + 6y = 6(y + 3) + 1 Combine like terms: 10 + 9 = 19 19 + 6y = 6(y + 3) + 1 Reorder the terms: 19 + 6y = 6(3 + y) + 1 19 + 6y = (3 * 6 + y * 6) + 1 19 + 6y = (18 + 6y) + 1 Reorder the terms: 19 + 6y = 18 + 1 + 6y Combine like terms: 18 + 1 = 19 19 + 6y = 19 + 6y Add '-19' to each side of the equation. 19 + -19 + 6y = 19 + -19 + 6y Combine like terms: 19 + -19 = 0 0 + 6y = 19 + -19 + 6y 6y = 19 + -19 + 6y Combine like terms: 19 + -19 = 0 6y = 0 + 6y 6y = 6y Add '-6y' to each side of the equation. 6y + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 0 = 6y + -6y Combine like terms: 6y + -6y = 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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