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Simplifying 2(y + 2) + -3(y + -1) = 5y + 7 + -6y Reorder the terms: 2(2 + y) + -3(y + -1) = 5y + 7 + -6y (2 * 2 + y * 2) + -3(y + -1) = 5y + 7 + -6y (4 + 2y) + -3(y + -1) = 5y + 7 + -6y Reorder the terms: 4 + 2y + -3(-1 + y) = 5y + 7 + -6y 4 + 2y + (-1 * -3 + y * -3) = 5y + 7 + -6y 4 + 2y + (3 + -3y) = 5y + 7 + -6y Reorder the terms: 4 + 3 + 2y + -3y = 5y + 7 + -6y Combine like terms: 4 + 3 = 7 7 + 2y + -3y = 5y + 7 + -6y Combine like terms: 2y + -3y = -1y 7 + -1y = 5y + 7 + -6y Reorder the terms: 7 + -1y = 7 + 5y + -6y Combine like terms: 5y + -6y = -1y 7 + -1y = 7 + -1y Add '-7' to each side of the equation. 7 + -7 + -1y = 7 + -7 + -1y Combine like terms: 7 + -7 = 0 0 + -1y = 7 + -7 + -1y -1y = 7 + -7 + -1y Combine like terms: 7 + -7 = 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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