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Simplifying 5Y + -2(Y + 4) = 6Y + -9 Reorder the terms: 5Y + -2(4 + Y) = 6Y + -9 5Y + (4 * -2 + Y * -2) = 6Y + -9 5Y + (-8 + -2Y) = 6Y + -9 Reorder the terms: -8 + 5Y + -2Y = 6Y + -9 Combine like terms: 5Y + -2Y = 3Y -8 + 3Y = 6Y + -9 Reorder the terms: -8 + 3Y = -9 + 6Y Solving -8 + 3Y = -9 + 6Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-6Y' to each side of the equation. -8 + 3Y + -6Y = -9 + 6Y + -6Y Combine like terms: 3Y + -6Y = -3Y -8 + -3Y = -9 + 6Y + -6Y Combine like terms: 6Y + -6Y = 0 -8 + -3Y = -9 + 0 -8 + -3Y = -9 Add '8' to each side of the equation. -8 + 8 + -3Y = -9 + 8 Combine like terms: -8 + 8 = 0 0 + -3Y = -9 + 8 -3Y = -9 + 8 Combine like terms: -9 + 8 = -1 -3Y = -1 Divide each side by '-3'. Y = 0.3333333333 Simplifying Y = 0.3333333333
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