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Simplifying 2(Y + 5) + 3(Y + -2) = 24 Reorder the terms: 2(5 + Y) + 3(Y + -2) = 24 (5 * 2 + Y * 2) + 3(Y + -2) = 24 (10 + 2Y) + 3(Y + -2) = 24 Reorder the terms: 10 + 2Y + 3(-2 + Y) = 24 10 + 2Y + (-2 * 3 + Y * 3) = 24 10 + 2Y + (-6 + 3Y) = 24 Reorder the terms: 10 + -6 + 2Y + 3Y = 24 Combine like terms: 10 + -6 = 4 4 + 2Y + 3Y = 24 Combine like terms: 2Y + 3Y = 5Y 4 + 5Y = 24 Solving 4 + 5Y = 24 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5Y = 24 + -4 Combine like terms: 4 + -4 = 0 0 + 5Y = 24 + -4 5Y = 24 + -4 Combine like terms: 24 + -4 = 20 5Y = 20 Divide each side by '5'. Y = 4 Simplifying Y = 4
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