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Simplifying 0.1y + 1 + 0.6y + 5 + -0.5y = 0 Reorder the terms: 1 + 5 + 0.1y + 0.6y + -0.5y = 0 Combine like terms: 1 + 5 = 6 6 + 0.1y + 0.6y + -0.5y = 0 Combine like terms: 0.1y + 0.6y = 0.7y 6 + 0.7y + -0.5y = 0 Combine like terms: 0.7y + -0.5y = 0.2y 6 + 0.2y = 0 Solving 6 + 0.2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 0.2y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 0.2y = 0 + -6 0.2y = 0 + -6 Combine like terms: 0 + -6 = -6 0.2y = -6 Divide each side by '0.2'. y = -30 Simplifying y = -30
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