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Simplifying 2Y + 7 = 4Y + -43 Reorder the terms: 7 + 2Y = 4Y + -43 Reorder the terms: 7 + 2Y = -43 + 4Y Solving 7 + 2Y = -43 + 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. 7 + 2Y + -4Y = -43 + 4Y + -4Y Combine like terms: 2Y + -4Y = -2Y 7 + -2Y = -43 + 4Y + -4Y Combine like terms: 4Y + -4Y = 0 7 + -2Y = -43 + 0 7 + -2Y = -43 Add '-7' to each side of the equation. 7 + -7 + -2Y = -43 + -7 Combine like terms: 7 + -7 = 0 0 + -2Y = -43 + -7 -2Y = -43 + -7 Combine like terms: -43 + -7 = -50 -2Y = -50 Divide each side by '-2'. Y = 25 Simplifying Y = 25
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