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Simplifying 8Y + 15 = 5 + -2Y Reorder the terms: 15 + 8Y = 5 + -2Y Solving 15 + 8Y = 5 + -2Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '2Y' to each side of the equation. 15 + 8Y + 2Y = 5 + -2Y + 2Y Combine like terms: 8Y + 2Y = 10Y 15 + 10Y = 5 + -2Y + 2Y Combine like terms: -2Y + 2Y = 0 15 + 10Y = 5 + 0 15 + 10Y = 5 Add '-15' to each side of the equation. 15 + -15 + 10Y = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 10Y = 5 + -15 10Y = 5 + -15 Combine like terms: 5 + -15 = -10 10Y = -10 Divide each side by '10'. Y = -1 Simplifying Y = -1
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