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Simplifying 5(7 + -1y) + -47 = 25y + -6(2 + 5y) (7 * 5 + -1y * 5) + -47 = 25y + -6(2 + 5y) (35 + -5y) + -47 = 25y + -6(2 + 5y) Reorder the terms: 35 + -47 + -5y = 25y + -6(2 + 5y) Combine like terms: 35 + -47 = -12 -12 + -5y = 25y + -6(2 + 5y) -12 + -5y = 25y + (2 * -6 + 5y * -6) -12 + -5y = 25y + (-12 + -30y) Reorder the terms: -12 + -5y = -12 + 25y + -30y Combine like terms: 25y + -30y = -5y -12 + -5y = -12 + -5y Add '12' to each side of the equation. -12 + 12 + -5y = -12 + 12 + -5y Combine like terms: -12 + 12 = 0 0 + -5y = -12 + 12 + -5y -5y = -12 + 12 + -5y Combine like terms: -12 + 12 = 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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