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Simplifying 2(y + 1) + -4(y + -3) = 6y + 14 + -8y Reorder the terms: 2(1 + y) + -4(y + -3) = 6y + 14 + -8y (1 * 2 + y * 2) + -4(y + -3) = 6y + 14 + -8y (2 + 2y) + -4(y + -3) = 6y + 14 + -8y Reorder the terms: 2 + 2y + -4(-3 + y) = 6y + 14 + -8y 2 + 2y + (-3 * -4 + y * -4) = 6y + 14 + -8y 2 + 2y + (12 + -4y) = 6y + 14 + -8y Reorder the terms: 2 + 12 + 2y + -4y = 6y + 14 + -8y Combine like terms: 2 + 12 = 14 14 + 2y + -4y = 6y + 14 + -8y Combine like terms: 2y + -4y = -2y 14 + -2y = 6y + 14 + -8y Reorder the terms: 14 + -2y = 14 + 6y + -8y Combine like terms: 6y + -8y = -2y 14 + -2y = 14 + -2y Add '-14' to each side of the equation. 14 + -14 + -2y = 14 + -14 + -2y Combine like terms: 14 + -14 = 0 0 + -2y = 14 + -14 + -2y -2y = 14 + -14 + -2y Combine like terms: 14 + -14 = 0 -2y = 0 + -2y -2y = -2y Add '2y' to each side of the equation. -2y + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 0 = -2y + 2y Combine like terms: -2y + 2y = 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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