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Simplifying 6(Y + -8) = 4Y + 12 Reorder the terms: 6(-8 + Y) = 4Y + 12 (-8 * 6 + Y * 6) = 4Y + 12 (-48 + 6Y) = 4Y + 12 Reorder the terms: -48 + 6Y = 12 + 4Y Solving -48 + 6Y = 12 + 4Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4Y' to each side of the equation. -48 + 6Y + -4Y = 12 + 4Y + -4Y Combine like terms: 6Y + -4Y = 2Y -48 + 2Y = 12 + 4Y + -4Y Combine like terms: 4Y + -4Y = 0 -48 + 2Y = 12 + 0 -48 + 2Y = 12 Add '48' to each side of the equation. -48 + 48 + 2Y = 12 + 48 Combine like terms: -48 + 48 = 0 0 + 2Y = 12 + 48 2Y = 12 + 48 Combine like terms: 12 + 48 = 60 2Y = 60 Divide each side by '2'. Y = 30 Simplifying Y = 30
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