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