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Simplifying 6(Y + 2) = 2(2Y + 3) Reorder the terms: 6(2 + Y) = 2(2Y + 3) (2 * 6 + Y * 6) = 2(2Y + 3) (12 + 6Y) = 2(2Y + 3) Reorder the terms: 12 + 6Y = 2(3 + 2Y) 12 + 6Y = (3 * 2 + 2Y * 2) 12 + 6Y = (6 + 4Y) Solving 12 + 6Y = 6 + 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. 12 + 6Y + -4Y = 6 + 4Y + -4Y Combine like terms: 6Y + -4Y = 2Y 12 + 2Y = 6 + 4Y + -4Y Combine like terms: 4Y + -4Y = 0 12 + 2Y = 6 + 0 12 + 2Y = 6 Add '-12' to each side of the equation. 12 + -12 + 2Y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 2Y = 6 + -12 2Y = 6 + -12 Combine like terms: 6 + -12 = -6 2Y = -6 Divide each side by '2'. Y = -3 Simplifying Y = -3
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