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Simplifying 8Y + -6 = 2(3Y + -9) Reorder the terms: -6 + 8Y = 2(3Y + -9) Reorder the terms: -6 + 8Y = 2(-9 + 3Y) -6 + 8Y = (-9 * 2 + 3Y * 2) -6 + 8Y = (-18 + 6Y) Solving -6 + 8Y = -18 + 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. -6 + 8Y + -6Y = -18 + 6Y + -6Y Combine like terms: 8Y + -6Y = 2Y -6 + 2Y = -18 + 6Y + -6Y Combine like terms: 6Y + -6Y = 0 -6 + 2Y = -18 + 0 -6 + 2Y = -18 Add '6' to each side of the equation. -6 + 6 + 2Y = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 2Y = -18 + 6 2Y = -18 + 6 Combine like terms: -18 + 6 = -12 2Y = -12 Divide each side by '2'. Y = -6 Simplifying Y = -6
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