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Simplifying 3(y + 2) + -4(y + -1) = 7y + 10 + -8y Reorder the terms: 3(2 + y) + -4(y + -1) = 7y + 10 + -8y (2 * 3 + y * 3) + -4(y + -1) = 7y + 10 + -8y (6 + 3y) + -4(y + -1) = 7y + 10 + -8y Reorder the terms: 6 + 3y + -4(-1 + y) = 7y + 10 + -8y 6 + 3y + (-1 * -4 + y * -4) = 7y + 10 + -8y 6 + 3y + (4 + -4y) = 7y + 10 + -8y Reorder the terms: 6 + 4 + 3y + -4y = 7y + 10 + -8y Combine like terms: 6 + 4 = 10 10 + 3y + -4y = 7y + 10 + -8y Combine like terms: 3y + -4y = -1y 10 + -1y = 7y + 10 + -8y Reorder the terms: 10 + -1y = 10 + 7y + -8y Combine like terms: 7y + -8y = -1y 10 + -1y = 10 + -1y Add '-10' to each side of the equation. 10 + -10 + -1y = 10 + -10 + -1y Combine like terms: 10 + -10 = 0 0 + -1y = 10 + -10 + -1y -1y = 10 + -10 + -1y Combine like terms: 10 + -10 = 0 -1y = 0 + -1y -1y = -1y Add 'y' to each side of the equation. -1y + y = -1y + y Combine like terms: -1y + y = 0 0 = -1y + y Combine like terms: -1y + y = 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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