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Simplifying 6(3y + 1) + 1 = -3 + 8y + 5(2y + 2) Reorder the terms: 6(1 + 3y) + 1 = -3 + 8y + 5(2y + 2) (1 * 6 + 3y * 6) + 1 = -3 + 8y + 5(2y + 2) (6 + 18y) + 1 = -3 + 8y + 5(2y + 2) Reorder the terms: 6 + 1 + 18y = -3 + 8y + 5(2y + 2) Combine like terms: 6 + 1 = 7 7 + 18y = -3 + 8y + 5(2y + 2) Reorder the terms: 7 + 18y = -3 + 8y + 5(2 + 2y) 7 + 18y = -3 + 8y + (2 * 5 + 2y * 5) 7 + 18y = -3 + 8y + (10 + 10y) Reorder the terms: 7 + 18y = -3 + 10 + 8y + 10y Combine like terms: -3 + 10 = 7 7 + 18y = 7 + 8y + 10y Combine like terms: 8y + 10y = 18y 7 + 18y = 7 + 18y Add '-7' to each side of the equation. 7 + -7 + 18y = 7 + -7 + 18y Combine like terms: 7 + -7 = 0 0 + 18y = 7 + -7 + 18y 18y = 7 + -7 + 18y Combine like terms: 7 + -7 = 0 18y = 0 + 18y 18y = 18y Add '-18y' to each side of the equation. 18y + -18y = 18y + -18y Combine like terms: 18y + -18y = 0 0 = 18y + -18y Combine like terms: 18y + -18y = 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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