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