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Simplifying 5Y + -4 + y + 8 = 7 + 5y + 13 + -3y Reorder the terms: -4 + 8 + 5Y + y = 7 + 5y + 13 + -3y Combine like terms: -4 + 8 = 4 4 + 5Y + y = 7 + 5y + 13 + -3y Reorder the terms: 4 + 5Y + y = 7 + 13 + 5y + -3y Combine like terms: 7 + 13 = 20 4 + 5Y + y = 20 + 5y + -3y Combine like terms: 5y + -3y = 2y 4 + 5Y + y = 20 + 2y Solving 4 + 5Y + y = 20 + 2y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5Y + -4 + y = 20 + -4 + 2y Reorder the terms: 4 + -4 + 5Y + y = 20 + -4 + 2y Combine like terms: 4 + -4 = 0 0 + 5Y + y = 20 + -4 + 2y 5Y + y = 20 + -4 + 2y Combine like terms: 20 + -4 = 16 5Y + y = 16 + 2y Add '-1y' to each side of the equation. 5Y + y + -1y = 16 + 2y + -1y Combine like terms: y + -1y = 0 5Y + 0 = 16 + 2y + -1y 5Y = 16 + 2y + -1y Combine like terms: 2y + -1y = 1y 5Y = 16 + 1y Divide each side by '5'. Y = 3.2 + 0.2y Simplifying Y = 3.2 + 0.2y
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