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Simplifying 5(Y + 4) + Y = 3(Y + 2) + -2 Reorder the terms: 5(4 + Y) + Y = 3(Y + 2) + -2 (4 * 5 + Y * 5) + Y = 3(Y + 2) + -2 (20 + 5Y) + Y = 3(Y + 2) + -2 Combine like terms: 5Y + Y = 6Y 20 + 6Y = 3(Y + 2) + -2 Reorder the terms: 20 + 6Y = 3(2 + Y) + -2 20 + 6Y = (2 * 3 + Y * 3) + -2 20 + 6Y = (6 + 3Y) + -2 Reorder the terms: 20 + 6Y = 6 + -2 + 3Y Combine like terms: 6 + -2 = 4 20 + 6Y = 4 + 3Y Solving 20 + 6Y = 4 + 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. 20 + 6Y + -3Y = 4 + 3Y + -3Y Combine like terms: 6Y + -3Y = 3Y 20 + 3Y = 4 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 20 + 3Y = 4 + 0 20 + 3Y = 4 Add '-20' to each side of the equation. 20 + -20 + 3Y = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 3Y = 4 + -20 3Y = 4 + -20 Combine like terms: 4 + -20 = -16 3Y = -16 Divide each side by '3'. Y = -5.333333333 Simplifying Y = -5.333333333
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