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Simplifying -3Y + 1 = -4Y + 8 Reorder the terms: 1 + -3Y = -4Y + 8 Reorder the terms: 1 + -3Y = 8 + -4Y Solving 1 + -3Y = 8 + -4Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '4Y' to each side of the equation. 1 + -3Y + 4Y = 8 + -4Y + 4Y Combine like terms: -3Y + 4Y = 1Y 1 + 1Y = 8 + -4Y + 4Y Combine like terms: -4Y + 4Y = 0 1 + 1Y = 8 + 0 1 + 1Y = 8 Add '-1' to each side of the equation. 1 + -1 + 1Y = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 1Y = 8 + -1 1Y = 8 + -1 Combine like terms: 8 + -1 = 7 1Y = 7 Divide each side by '1'. Y = 7 Simplifying Y = 7
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