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Simplifying 2Y + -6 = -3Y + 30 Reorder the terms: -6 + 2Y = -3Y + 30 Reorder the terms: -6 + 2Y = 30 + -3Y Solving -6 + 2Y = 30 + -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. -6 + 2Y + 3Y = 30 + -3Y + 3Y Combine like terms: 2Y + 3Y = 5Y -6 + 5Y = 30 + -3Y + 3Y Combine like terms: -3Y + 3Y = 0 -6 + 5Y = 30 + 0 -6 + 5Y = 30 Add '6' to each side of the equation. -6 + 6 + 5Y = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 5Y = 30 + 6 5Y = 30 + 6 Combine like terms: 30 + 6 = 36 5Y = 36 Divide each side by '5'. Y = 7.2 Simplifying Y = 7.2
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