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Simplifying (2y + -9) + -1(7y + -7) = -5y + -2 Reorder the terms: (-9 + 2y) + -1(7y + -7) = -5y + -2 Remove parenthesis around (-9 + 2y) -9 + 2y + -1(7y + -7) = -5y + -2 Reorder the terms: -9 + 2y + -1(-7 + 7y) = -5y + -2 -9 + 2y + (-7 * -1 + 7y * -1) = -5y + -2 -9 + 2y + (7 + -7y) = -5y + -2 Reorder the terms: -9 + 7 + 2y + -7y = -5y + -2 Combine like terms: -9 + 7 = -2 -2 + 2y + -7y = -5y + -2 Combine like terms: 2y + -7y = -5y -2 + -5y = -5y + -2 Reorder the terms: -2 + -5y = -2 + -5y Add '2' to each side of the equation. -2 + 2 + -5y = -2 + 2 + -5y Combine like terms: -2 + 2 = 0 0 + -5y = -2 + 2 + -5y -5y = -2 + 2 + -5y Combine like terms: -2 + 2 = 0 -5y = 0 + -5y -5y = -5y Add '5y' to each side of the equation. -5y + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 0 = -5y + 5y Combine like terms: -5y + 5y = 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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