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Simplifying 3(7 + -1y) + -45 = 27y + -6(4 + 5y) (7 * 3 + -1y * 3) + -45 = 27y + -6(4 + 5y) (21 + -3y) + -45 = 27y + -6(4 + 5y) Reorder the terms: 21 + -45 + -3y = 27y + -6(4 + 5y) Combine like terms: 21 + -45 = -24 -24 + -3y = 27y + -6(4 + 5y) -24 + -3y = 27y + (4 * -6 + 5y * -6) -24 + -3y = 27y + (-24 + -30y) Reorder the terms: -24 + -3y = -24 + 27y + -30y Combine like terms: 27y + -30y = -3y -24 + -3y = -24 + -3y Add '24' to each side of the equation. -24 + 24 + -3y = -24 + 24 + -3y Combine like terms: -24 + 24 = 0 0 + -3y = -24 + 24 + -3y -3y = -24 + 24 + -3y Combine like terms: -24 + 24 = 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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