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Simplifying 5Y + 9 = 8Y + -6 Reorder the terms: 9 + 5Y = 8Y + -6 Reorder the terms: 9 + 5Y = -6 + 8Y Solving 9 + 5Y = -6 + 8Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-8Y' to each side of the equation. 9 + 5Y + -8Y = -6 + 8Y + -8Y Combine like terms: 5Y + -8Y = -3Y 9 + -3Y = -6 + 8Y + -8Y Combine like terms: 8Y + -8Y = 0 9 + -3Y = -6 + 0 9 + -3Y = -6 Add '-9' to each side of the equation. 9 + -9 + -3Y = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3Y = -6 + -9 -3Y = -6 + -9 Combine like terms: -6 + -9 = -15 -3Y = -15 Divide each side by '-3'. Y = 5 Simplifying Y = 5
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