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Simplifying 4 + -0.3(y + -17) = 0.5(11y + -17) Reorder the terms: 4 + -0.3(-17 + y) = 0.5(11y + -17) 4 + (-17 * -0.3 + y * -0.3) = 0.5(11y + -17) 4 + (5.1 + -0.3y) = 0.5(11y + -17) Combine like terms: 4 + 5.1 = 9.1 9.1 + -0.3y = 0.5(11y + -17) Reorder the terms: 9.1 + -0.3y = 0.5(-17 + 11y) 9.1 + -0.3y = (-17 * 0.5 + 11y * 0.5) 9.1 + -0.3y = (-8.5 + 5.5y) Solving 9.1 + -0.3y = -8.5 + 5.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.5y' to each side of the equation. 9.1 + -0.3y + -5.5y = -8.5 + 5.5y + -5.5y Combine like terms: -0.3y + -5.5y = -5.8y 9.1 + -5.8y = -8.5 + 5.5y + -5.5y Combine like terms: 5.5y + -5.5y = 0.0 9.1 + -5.8y = -8.5 + 0.0 9.1 + -5.8y = -8.5 Add '-9.1' to each side of the equation. 9.1 + -9.1 + -5.8y = -8.5 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + -5.8y = -8.5 + -9.1 -5.8y = -8.5 + -9.1 Combine like terms: -8.5 + -9.1 = -17.6 -5.8y = -17.6 Divide each side by '-5.8'. y = 3.034482759 Simplifying y = 3.034482759
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