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Simplifying 3(5 + -1y) + -27 = 27y + -6(2 + 5y) (5 * 3 + -1y * 3) + -27 = 27y + -6(2 + 5y) (15 + -3y) + -27 = 27y + -6(2 + 5y) Reorder the terms: 15 + -27 + -3y = 27y + -6(2 + 5y) Combine like terms: 15 + -27 = -12 -12 + -3y = 27y + -6(2 + 5y) -12 + -3y = 27y + (2 * -6 + 5y * -6) -12 + -3y = 27y + (-12 + -30y) Reorder the terms: -12 + -3y = -12 + 27y + -30y Combine like terms: 27y + -30y = -3y -12 + -3y = -12 + -3y Add '12' to each side of the equation. -12 + 12 + -3y = -12 + 12 + -3y Combine like terms: -12 + 12 = 0 0 + -3y = -12 + 12 + -3y -3y = -12 + 12 + -3y Combine like terms: -12 + 12 = 0 -3y = 0 + -3y -3y = -3y Add '3y' to each side of the equation. -3y + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 0 = -3y + 3y Combine like terms: -3y + 3y = 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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