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Simplifying 3y + -5 + Y + 23 = 8y + 20 + -6y Reorder the terms: -5 + 23 + Y + 3y = 8y + 20 + -6y Combine like terms: -5 + 23 = 18 18 + Y + 3y = 8y + 20 + -6y Reorder the terms: 18 + Y + 3y = 20 + 8y + -6y Combine like terms: 8y + -6y = 2y 18 + Y + 3y = 20 + 2y Solving 18 + Y + 3y = 20 + 2y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + Y + -18 + 3y = 20 + -18 + 2y Reorder the terms: 18 + -18 + Y + 3y = 20 + -18 + 2y Combine like terms: 18 + -18 = 0 0 + Y + 3y = 20 + -18 + 2y Y + 3y = 20 + -18 + 2y Combine like terms: 20 + -18 = 2 Y + 3y = 2 + 2y Add '-3y' to each side of the equation. Y + 3y + -3y = 2 + 2y + -3y Combine like terms: 3y + -3y = 0 Y + 0 = 2 + 2y + -3y Y = 2 + 2y + -3y Combine like terms: 2y + -3y = -1y Y = 2 + -1y Simplifying Y = 2 + -1y
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