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Simplifying 3(y + 3) + 5y = 4(2y + 1) + 5 Reorder the terms: 3(3 + y) + 5y = 4(2y + 1) + 5 (3 * 3 + y * 3) + 5y = 4(2y + 1) + 5 (9 + 3y) + 5y = 4(2y + 1) + 5 Combine like terms: 3y + 5y = 8y 9 + 8y = 4(2y + 1) + 5 Reorder the terms: 9 + 8y = 4(1 + 2y) + 5 9 + 8y = (1 * 4 + 2y * 4) + 5 9 + 8y = (4 + 8y) + 5 Reorder the terms: 9 + 8y = 4 + 5 + 8y Combine like terms: 4 + 5 = 9 9 + 8y = 9 + 8y Add '-9' to each side of the equation. 9 + -9 + 8y = 9 + -9 + 8y Combine like terms: 9 + -9 = 0 0 + 8y = 9 + -9 + 8y 8y = 9 + -9 + 8y Combine like terms: 9 + -9 = 0 8y = 0 + 8y 8y = 8y Add '-8y' to each side of the equation. 8y + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 0 = 8y + -8y Combine like terms: 8y + -8y = 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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