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Simplifying 5Y + 1 = 3Y + -5 Reorder the terms: 1 + 5Y = 3Y + -5 Reorder the terms: 1 + 5Y = -5 + 3Y Solving 1 + 5Y = -5 + 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. 1 + 5Y + -3Y = -5 + 3Y + -3Y Combine like terms: 5Y + -3Y = 2Y 1 + 2Y = -5 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 1 + 2Y = -5 + 0 1 + 2Y = -5 Add '-1' to each side of the equation. 1 + -1 + 2Y = -5 + -1 Combine like terms: 1 + -1 = 0 0 + 2Y = -5 + -1 2Y = -5 + -1 Combine like terms: -5 + -1 = -6 2Y = -6 Divide each side by '2'. Y = -3 Simplifying Y = -3
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