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Simplifying 13.7y + -10.6 = 6.2y + 19 Reorder the terms: -10.6 + 13.7y = 6.2y + 19 Reorder the terms: -10.6 + 13.7y = 19 + 6.2y Solving -10.6 + 13.7y = 19 + 6.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6.2y' to each side of the equation. -10.6 + 13.7y + -6.2y = 19 + 6.2y + -6.2y Combine like terms: 13.7y + -6.2y = 7.5y -10.6 + 7.5y = 19 + 6.2y + -6.2y Combine like terms: 6.2y + -6.2y = 0.0 -10.6 + 7.5y = 19 + 0.0 -10.6 + 7.5y = 19 Add '10.6' to each side of the equation. -10.6 + 10.6 + 7.5y = 19 + 10.6 Combine like terms: -10.6 + 10.6 = 0.0 0.0 + 7.5y = 19 + 10.6 7.5y = 19 + 10.6 Combine like terms: 19 + 10.6 = 29.6 7.5y = 29.6 Divide each side by '7.5'. y = 3.946666667 Simplifying y = 3.946666667
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