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Simplifying 12 + -1Y = 2Y + 6 Reorder the terms: 12 + -1Y = 6 + 2Y Solving 12 + -1Y = 6 + 2Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-2Y' to each side of the equation. 12 + -1Y + -2Y = 6 + 2Y + -2Y Combine like terms: -1Y + -2Y = -3Y 12 + -3Y = 6 + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 12 + -3Y = 6 + 0 12 + -3Y = 6 Add '-12' to each side of the equation. 12 + -12 + -3Y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -3Y = 6 + -12 -3Y = 6 + -12 Combine like terms: 6 + -12 = -6 -3Y = -6 Divide each side by '-3'. Y = 2 Simplifying Y = 2
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