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Simplifying (4y + -7) + -1(9y + -1) = -5y + -6 Reorder the terms: (-7 + 4y) + -1(9y + -1) = -5y + -6 Remove parenthesis around (-7 + 4y) -7 + 4y + -1(9y + -1) = -5y + -6 Reorder the terms: -7 + 4y + -1(-1 + 9y) = -5y + -6 -7 + 4y + (-1 * -1 + 9y * -1) = -5y + -6 -7 + 4y + (1 + -9y) = -5y + -6 Reorder the terms: -7 + 1 + 4y + -9y = -5y + -6 Combine like terms: -7 + 1 = -6 -6 + 4y + -9y = -5y + -6 Combine like terms: 4y + -9y = -5y -6 + -5y = -5y + -6 Reorder the terms: -6 + -5y = -6 + -5y Add '6' to each side of the equation. -6 + 6 + -5y = -6 + 6 + -5y Combine like terms: -6 + 6 = 0 0 + -5y = -6 + 6 + -5y -5y = -6 + 6 + -5y Combine like terms: -6 + 6 = 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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