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Simplifying 3Y + 1 = 8Y + -4 Reorder the terms: 1 + 3Y = 8Y + -4 Reorder the terms: 1 + 3Y = -4 + 8Y Solving 1 + 3Y = -4 + 8Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-8Y' to each side of the equation. 1 + 3Y + -8Y = -4 + 8Y + -8Y Combine like terms: 3Y + -8Y = -5Y 1 + -5Y = -4 + 8Y + -8Y Combine like terms: 8Y + -8Y = 0 1 + -5Y = -4 + 0 1 + -5Y = -4 Add '-1' to each side of the equation. 1 + -1 + -5Y = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -5Y = -4 + -1 -5Y = -4 + -1 Combine like terms: -4 + -1 = -5 -5Y = -5 Divide each side by '-5'. Y = 1 Simplifying Y = 1
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