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Simplifying 2[Y + 4] = 3[6Y + 27] Reorder the terms: 2[4 + Y] = 3[6Y + 27] [4 * 2 + Y * 2] = 3[6Y + 27] [8 + 2Y] = 3[6Y + 27] Reorder the terms: 8 + 2Y = 3[27 + 6Y] 8 + 2Y = [27 * 3 + 6Y * 3] 8 + 2Y = [81 + 18Y] Solving 8 + 2Y = 81 + 18Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-18Y' to each side of the equation. 8 + 2Y + -18Y = 81 + 18Y + -18Y Combine like terms: 2Y + -18Y = -16Y 8 + -16Y = 81 + 18Y + -18Y Combine like terms: 18Y + -18Y = 0 8 + -16Y = 81 + 0 8 + -16Y = 81 Add '-8' to each side of the equation. 8 + -8 + -16Y = 81 + -8 Combine like terms: 8 + -8 = 0 0 + -16Y = 81 + -8 -16Y = 81 + -8 Combine like terms: 81 + -8 = 73 -16Y = 73 Divide each side by '-16'. Y = -4.5625 Simplifying Y = -4.5625
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