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Simplifying 3.4Y + -5.2 = 3Y + 2 Reorder the terms: -5.2 + 3.4Y = 3Y + 2 Reorder the terms: -5.2 + 3.4Y = 2 + 3Y Solving -5.2 + 3.4Y = 2 + 3Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-3Y' to each side of the equation. -5.2 + 3.4Y + -3Y = 2 + 3Y + -3Y Combine like terms: 3.4Y + -3Y = 0.4Y -5.2 + 0.4Y = 2 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 -5.2 + 0.4Y = 2 + 0 -5.2 + 0.4Y = 2 Add '5.2' to each side of the equation. -5.2 + 5.2 + 0.4Y = 2 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 0.4Y = 2 + 5.2 0.4Y = 2 + 5.2 Combine like terms: 2 + 5.2 = 7.2 0.4Y = 7.2 Divide each side by '0.4'. Y = 18 Simplifying Y = 18
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