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Simplifying (5y + -9) + -1(7y + -6) = -2y + -3 Reorder the terms: (-9 + 5y) + -1(7y + -6) = -2y + -3 Remove parenthesis around (-9 + 5y) -9 + 5y + -1(7y + -6) = -2y + -3 Reorder the terms: -9 + 5y + -1(-6 + 7y) = -2y + -3 -9 + 5y + (-6 * -1 + 7y * -1) = -2y + -3 -9 + 5y + (6 + -7y) = -2y + -3 Reorder the terms: -9 + 6 + 5y + -7y = -2y + -3 Combine like terms: -9 + 6 = -3 -3 + 5y + -7y = -2y + -3 Combine like terms: 5y + -7y = -2y -3 + -2y = -2y + -3 Reorder the terms: -3 + -2y = -3 + -2y Add '3' to each side of the equation. -3 + 3 + -2y = -3 + 3 + -2y Combine like terms: -3 + 3 = 0 0 + -2y = -3 + 3 + -2y -2y = -3 + 3 + -2y Combine like terms: -3 + 3 = 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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