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Simplifying 3(8 + -1Y) + -34 = 17Y + -5(2 + 4Y) (8 * 3 + -1Y * 3) + -34 = 17Y + -5(2 + 4Y) (24 + -3Y) + -34 = 17Y + -5(2 + 4Y) Reorder the terms: 24 + -34 + -3Y = 17Y + -5(2 + 4Y) Combine like terms: 24 + -34 = -10 -10 + -3Y = 17Y + -5(2 + 4Y) -10 + -3Y = 17Y + (2 * -5 + 4Y * -5) -10 + -3Y = 17Y + (-10 + -20Y) Reorder the terms: -10 + -3Y = -10 + 17Y + -20Y Combine like terms: 17Y + -20Y = -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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