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Simplifying 2Y + 5Y + 9 = -5 + 5y + -10 Reorder the terms: 9 + 2Y + 5Y = -5 + 5y + -10 Combine like terms: 2Y + 5Y = 7Y 9 + 7Y = -5 + 5y + -10 Reorder the terms: 9 + 7Y = -5 + -10 + 5y Combine like terms: -5 + -10 = -15 9 + 7Y = -15 + 5y Solving 9 + 7Y = -15 + 5y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7Y = -15 + -9 + 5y Combine like terms: 9 + -9 = 0 0 + 7Y = -15 + -9 + 5y 7Y = -15 + -9 + 5y Combine like terms: -15 + -9 = -24 7Y = -24 + 5y Divide each side by '7'. Y = -3.428571429 + 0.7142857143y Simplifying Y = -3.428571429 + 0.7142857143y
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