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Simplifying 2(4) + 4Y = 6Y + 0.5(4) Multiply 2 * 4 8 + 4Y = 6Y + 0.5(4) Multiply 0.5 * 4 8 + 4Y = 6Y + 2 Reorder the terms: 8 + 4Y = 2 + 6Y Solving 8 + 4Y = 2 + 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 + 4Y + -6Y = 2 + 6Y + -6Y Combine like terms: 4Y + -6Y = -2Y 8 + -2Y = 2 + 6Y + -6Y Combine like terms: 6Y + -6Y = 0 8 + -2Y = 2 + 0 8 + -2Y = 2 Add '-8' to each side of the equation. 8 + -8 + -2Y = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -2Y = 2 + -8 -2Y = 2 + -8 Combine like terms: 2 + -8 = -6 -2Y = -6 Divide each side by '-2'. Y = 3 Simplifying Y = 3
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