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Simplifying 6(3.466666667 + 0.5333333333y) + 14y = 37 (3.466666667 * 6 + 0.5333333333y * 6) + 14y = 37 (20.8 + 3.2y) + 14y = 37 Combine like terms: 3.2y + 14y = 17.2y 20.8 + 17.2y = 37 Solving 20.8 + 17.2y = 37 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20.8' to each side of the equation. 20.8 + -20.8 + 17.2y = 37 + -20.8 Combine like terms: 20.8 + -20.8 = 0.0 0.0 + 17.2y = 37 + -20.8 17.2y = 37 + -20.8 Combine like terms: 37 + -20.8 = 16.2 17.2y = 16.2 Divide each side by '17.2'. y = 0.9418604651 Simplifying y = 0.9418604651
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