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Simplifying 0.2y + 11 = -0.5y + 7 Reorder the terms: 11 + 0.2y = -0.5y + 7 Reorder the terms: 11 + 0.2y = 7 + -0.5y Solving 11 + 0.2y = 7 + -0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5y' to each side of the equation. 11 + 0.2y + 0.5y = 7 + -0.5y + 0.5y Combine like terms: 0.2y + 0.5y = 0.7y 11 + 0.7y = 7 + -0.5y + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 11 + 0.7y = 7 + 0.0 11 + 0.7y = 7 Add '-11' to each side of the equation. 11 + -11 + 0.7y = 7 + -11 Combine like terms: 11 + -11 = 0 0 + 0.7y = 7 + -11 0.7y = 7 + -11 Combine like terms: 7 + -11 = -4 0.7y = -4 Divide each side by '0.7'. y = -5.714285714 Simplifying y = -5.714285714
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