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Simplifying 6y + -11(0.5 + -0.5y) = 7 + 10y 6y + (0.5 * -11 + -0.5y * -11) = 7 + 10y 6y + (-5.5 + 5.5y) = 7 + 10y Reorder the terms: -5.5 + 6y + 5.5y = 7 + 10y Combine like terms: 6y + 5.5y = 11.5y -5.5 + 11.5y = 7 + 10y Solving -5.5 + 11.5y = 7 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -5.5 + 11.5y + -10y = 7 + 10y + -10y Combine like terms: 11.5y + -10y = 1.5y -5.5 + 1.5y = 7 + 10y + -10y Combine like terms: 10y + -10y = 0 -5.5 + 1.5y = 7 + 0 -5.5 + 1.5y = 7 Add '5.5' to each side of the equation. -5.5 + 5.5 + 1.5y = 7 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 1.5y = 7 + 5.5 1.5y = 7 + 5.5 Combine like terms: 7 + 5.5 = 12.5 1.5y = 12.5 Divide each side by '1.5'. y = 8.333333333 Simplifying y = 8.333333333
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