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Simplifying 7 + 0.6(1 + -1y) = 1.6y + -5(y + -0.2) 7 + (1 * 0.6 + -1y * 0.6) = 1.6y + -5(y + -0.2) 7 + (0.6 + -0.6y) = 1.6y + -5(y + -0.2) Combine like terms: 7 + 0.6 = 7.6 7.6 + -0.6y = 1.6y + -5(y + -0.2) Reorder the terms: 7.6 + -0.6y = 1.6y + -5(-0.2 + y) 7.6 + -0.6y = 1.6y + (-0.2 * -5 + y * -5) 7.6 + -0.6y = 1.6y + (1 + -5y) Reorder the terms: 7.6 + -0.6y = 1 + 1.6y + -5y Combine like terms: 1.6y + -5y = -3.4y 7.6 + -0.6y = 1 + -3.4y Solving 7.6 + -0.6y = 1 + -3.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3.4y' to each side of the equation. 7.6 + -0.6y + 3.4y = 1 + -3.4y + 3.4y Combine like terms: -0.6y + 3.4y = 2.8y 7.6 + 2.8y = 1 + -3.4y + 3.4y Combine like terms: -3.4y + 3.4y = 0.0 7.6 + 2.8y = 1 + 0.0 7.6 + 2.8y = 1 Add '-7.6' to each side of the equation. 7.6 + -7.6 + 2.8y = 1 + -7.6 Combine like terms: 7.6 + -7.6 = 0.0 0.0 + 2.8y = 1 + -7.6 2.8y = 1 + -7.6 Combine like terms: 1 + -7.6 = -6.6 2.8y = -6.6 Divide each side by '2.8'. y = -2.357142857 Simplifying y = -2.357142857
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