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Simplifying 6Y + -5 = 9Y + 1 Reorder the terms: -5 + 6Y = 9Y + 1 Reorder the terms: -5 + 6Y = 1 + 9Y Solving -5 + 6Y = 1 + 9Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-9Y' to each side of the equation. -5 + 6Y + -9Y = 1 + 9Y + -9Y Combine like terms: 6Y + -9Y = -3Y -5 + -3Y = 1 + 9Y + -9Y Combine like terms: 9Y + -9Y = 0 -5 + -3Y = 1 + 0 -5 + -3Y = 1 Add '5' to each side of the equation. -5 + 5 + -3Y = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -3Y = 1 + 5 -3Y = 1 + 5 Combine like terms: 1 + 5 = 6 -3Y = 6 Divide each side by '-3'. Y = -2 Simplifying Y = -2
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