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Simplifying 3Y + -7 + Y + 45 = 8Y + 40 + -6Y Reorder the terms: -7 + 45 + 3Y + Y = 8Y + 40 + -6Y Combine like terms: -7 + 45 = 38 38 + 3Y + Y = 8Y + 40 + -6Y Combine like terms: 3Y + Y = 4Y 38 + 4Y = 8Y + 40 + -6Y Reorder the terms: 38 + 4Y = 40 + 8Y + -6Y Combine like terms: 8Y + -6Y = 2Y 38 + 4Y = 40 + 2Y Solving 38 + 4Y = 40 + 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. 38 + 4Y + -2Y = 40 + 2Y + -2Y Combine like terms: 4Y + -2Y = 2Y 38 + 2Y = 40 + 2Y + -2Y Combine like terms: 2Y + -2Y = 0 38 + 2Y = 40 + 0 38 + 2Y = 40 Add '-38' to each side of the equation. 38 + -38 + 2Y = 40 + -38 Combine like terms: 38 + -38 = 0 0 + 2Y = 40 + -38 2Y = 40 + -38 Combine like terms: 40 + -38 = 2 2Y = 2 Divide each side by '2'. Y = 1 Simplifying Y = 1
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