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