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Simplifying 7 + 0.6(7 + -1y) = 1.9y + -9(y + -0.2) 7 + (7 * 0.6 + -1y * 0.6) = 1.9y + -9(y + -0.2) 7 + (4.2 + -0.6y) = 1.9y + -9(y + -0.2) Combine like terms: 7 + 4.2 = 11.2 11.2 + -0.6y = 1.9y + -9(y + -0.2) Reorder the terms: 11.2 + -0.6y = 1.9y + -9(-0.2 + y) 11.2 + -0.6y = 1.9y + (-0.2 * -9 + y * -9) 11.2 + -0.6y = 1.9y + (1.8 + -9y) Reorder the terms: 11.2 + -0.6y = 1.8 + 1.9y + -9y Combine like terms: 1.9y + -9y = -7.1y 11.2 + -0.6y = 1.8 + -7.1y Solving 11.2 + -0.6y = 1.8 + -7.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7.1y' to each side of the equation. 11.2 + -0.6y + 7.1y = 1.8 + -7.1y + 7.1y Combine like terms: -0.6y + 7.1y = 6.5y 11.2 + 6.5y = 1.8 + -7.1y + 7.1y Combine like terms: -7.1y + 7.1y = 0.0 11.2 + 6.5y = 1.8 + 0.0 11.2 + 6.5y = 1.8 Add '-11.2' to each side of the equation. 11.2 + -11.2 + 6.5y = 1.8 + -11.2 Combine like terms: 11.2 + -11.2 = 0.0 0.0 + 6.5y = 1.8 + -11.2 6.5y = 1.8 + -11.2 Combine like terms: 1.8 + -11.2 = -9.4 6.5y = -9.4 Divide each side by '6.5'. y = -1.446153846 Simplifying y = -1.446153846
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