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