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Simplifying 3(8 + -1y) + -34 = 27y + -5(2 + 6y) (8 * 3 + -1y * 3) + -34 = 27y + -5(2 + 6y) (24 + -3y) + -34 = 27y + -5(2 + 6y) Reorder the terms: 24 + -34 + -3y = 27y + -5(2 + 6y) Combine like terms: 24 + -34 = -10 -10 + -3y = 27y + -5(2 + 6y) -10 + -3y = 27y + (2 * -5 + 6y * -5) -10 + -3y = 27y + (-10 + -30y) Reorder the terms: -10 + -3y = -10 + 27y + -30y Combine like terms: 27y + -30y = -3y -10 + -3y = -10 + -3y Add '10' to each side of the equation. -10 + 10 + -3y = -10 + 10 + -3y Combine like terms: -10 + 10 = 0 0 + -3y = -10 + 10 + -3y -3y = -10 + 10 + -3y Combine like terms: -10 + 10 = 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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