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Simplifying 7(y + -6) + -1y = 6(y + -7) Reorder the terms: 7(-6 + y) + -1y = 6(y + -7) (-6 * 7 + y * 7) + -1y = 6(y + -7) (-42 + 7y) + -1y = 6(y + -7) Combine like terms: 7y + -1y = 6y -42 + 6y = 6(y + -7) Reorder the terms: -42 + 6y = 6(-7 + y) -42 + 6y = (-7 * 6 + y * 6) -42 + 6y = (-42 + 6y) Add '42' to each side of the equation. -42 + 42 + 6y = -42 + 42 + 6y Combine like terms: -42 + 42 = 0 0 + 6y = -42 + 42 + 6y 6y = -42 + 42 + 6y Combine like terms: -42 + 42 = 0 6y = 0 + 6y 6y = 6y Add '-6y' to each side of the equation. 6y + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 0 = 6y + -6y Combine like terms: 6y + -6y = 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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