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Simplifying Y + -8 + 2(3Y + 8) = -5(Y + 2) Reorder the terms: Y + -8 + 2(8 + 3Y) = -5(Y + 2) Y + -8 + (8 * 2 + 3Y * 2) = -5(Y + 2) Y + -8 + (16 + 6Y) = -5(Y + 2) Reorder the terms: -8 + 16 + Y + 6Y = -5(Y + 2) Combine like terms: -8 + 16 = 8 8 + Y + 6Y = -5(Y + 2) Combine like terms: Y + 6Y = 7Y 8 + 7Y = -5(Y + 2) Reorder the terms: 8 + 7Y = -5(2 + Y) 8 + 7Y = (2 * -5 + Y * -5) 8 + 7Y = (-10 + -5Y) Solving 8 + 7Y = -10 + -5Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '5Y' to each side of the equation. 8 + 7Y + 5Y = -10 + -5Y + 5Y Combine like terms: 7Y + 5Y = 12Y 8 + 12Y = -10 + -5Y + 5Y Combine like terms: -5Y + 5Y = 0 8 + 12Y = -10 + 0 8 + 12Y = -10 Add '-8' to each side of the equation. 8 + -8 + 12Y = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 12Y = -10 + -8 12Y = -10 + -8 Combine like terms: -10 + -8 = -18 12Y = -18 Divide each side by '12'. Y = -1.5 Simplifying Y = -1.5
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