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Simplifying 5Y + -75 = 3Y + 17 Reorder the terms: -75 + 5Y = 3Y + 17 Reorder the terms: -75 + 5Y = 17 + 3Y Solving -75 + 5Y = 17 + 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. -75 + 5Y + -3Y = 17 + 3Y + -3Y Combine like terms: 5Y + -3Y = 2Y -75 + 2Y = 17 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 -75 + 2Y = 17 + 0 -75 + 2Y = 17 Add '75' to each side of the equation. -75 + 75 + 2Y = 17 + 75 Combine like terms: -75 + 75 = 0 0 + 2Y = 17 + 75 2Y = 17 + 75 Combine like terms: 17 + 75 = 92 2Y = 92 Divide each side by '2'. Y = 46 Simplifying Y = 46
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