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Simplifying 3(y + 7) + 4y = 2y + -3(y + -7) + 8y Reorder the terms: 3(7 + y) + 4y = 2y + -3(y + -7) + 8y (7 * 3 + y * 3) + 4y = 2y + -3(y + -7) + 8y (21 + 3y) + 4y = 2y + -3(y + -7) + 8y Combine like terms: 3y + 4y = 7y 21 + 7y = 2y + -3(y + -7) + 8y Reorder the terms: 21 + 7y = 2y + -3(-7 + y) + 8y 21 + 7y = 2y + (-7 * -3 + y * -3) + 8y 21 + 7y = 2y + (21 + -3y) + 8y Reorder the terms: 21 + 7y = 21 + 2y + -3y + 8y Combine like terms: 2y + -3y = -1y 21 + 7y = 21 + -1y + 8y Combine like terms: -1y + 8y = 7y 21 + 7y = 21 + 7y Add '-21' to each side of the equation. 21 + -21 + 7y = 21 + -21 + 7y Combine like terms: 21 + -21 = 0 0 + 7y = 21 + -21 + 7y 7y = 21 + -21 + 7y Combine like terms: 21 + -21 = 0 7y = 0 + 7y 7y = 7y Add '-7y' to each side of the equation. 7y + -7y = 7y + -7y Combine like terms: 7y + -7y = 0 0 = 7y + -7y Combine like terms: 7y + -7y = 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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