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Simplifying 4Y + 9 = 7Y + 15 Reorder the terms: 9 + 4Y = 7Y + 15 Reorder the terms: 9 + 4Y = 15 + 7Y Solving 9 + 4Y = 15 + 7Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-7Y' to each side of the equation. 9 + 4Y + -7Y = 15 + 7Y + -7Y Combine like terms: 4Y + -7Y = -3Y 9 + -3Y = 15 + 7Y + -7Y Combine like terms: 7Y + -7Y = 0 9 + -3Y = 15 + 0 9 + -3Y = 15 Add '-9' to each side of the equation. 9 + -9 + -3Y = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -3Y = 15 + -9 -3Y = 15 + -9 Combine like terms: 15 + -9 = 6 -3Y = 6 Divide each side by '-3'. Y = -2 Simplifying Y = -2
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