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Simplifying 4Y + 7 + -1Y = 4 + 2Y + -8 Reorder the terms: 7 + 4Y + -1Y = 4 + 2Y + -8 Combine like terms: 4Y + -1Y = 3Y 7 + 3Y = 4 + 2Y + -8 Reorder the terms: 7 + 3Y = 4 + -8 + 2Y Combine like terms: 4 + -8 = -4 7 + 3Y = -4 + 2Y Solving 7 + 3Y = -4 + 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. 7 + 3Y + -2Y = -4 + 2Y + -2Y Combine like terms: 3Y + -2Y = 1Y 7 + 1Y = -4 + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 7 + 1Y = -4 + 0 7 + 1Y = -4 Add '-7' to each side of the equation. 7 + -7 + 1Y = -4 + -7 Combine like terms: 7 + -7 = 0 0 + 1Y = -4 + -7 1Y = -4 + -7 Combine like terms: -4 + -7 = -11 1Y = -11 Divide each side by '1'. Y = -11 Simplifying Y = -11
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