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Simplifying 3[Y + 4] = Y + -6 Reorder the terms: 3[4 + Y] = Y + -6 [4 * 3 + Y * 3] = Y + -6 [12 + 3Y] = Y + -6 Reorder the terms: 12 + 3Y = -6 + Y Solving 12 + 3Y = -6 + Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-1Y' to each side of the equation. 12 + 3Y + -1Y = -6 + Y + -1Y Combine like terms: 3Y + -1Y = 2Y 12 + 2Y = -6 + Y + -1Y Combine like terms: Y + -1Y = 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 = -18 2Y = -18 Divide each side by '2'. Y = -9 Simplifying Y = -9
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