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Simplifying 4 + 0.6(3 + -1y) = 0.3y + -7(y + -0.8) 4 + (3 * 0.6 + -1y * 0.6) = 0.3y + -7(y + -0.8) 4 + (1.8 + -0.6y) = 0.3y + -7(y + -0.8) Combine like terms: 4 + 1.8 = 5.8 5.8 + -0.6y = 0.3y + -7(y + -0.8) Reorder the terms: 5.8 + -0.6y = 0.3y + -7(-0.8 + y) 5.8 + -0.6y = 0.3y + (-0.8 * -7 + y * -7) 5.8 + -0.6y = 0.3y + (5.6 + -7y) Reorder the terms: 5.8 + -0.6y = 5.6 + 0.3y + -7y Combine like terms: 0.3y + -7y = -6.7y 5.8 + -0.6y = 5.6 + -6.7y Solving 5.8 + -0.6y = 5.6 + -6.7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6.7y' to each side of the equation. 5.8 + -0.6y + 6.7y = 5.6 + -6.7y + 6.7y Combine like terms: -0.6y + 6.7y = 6.1y 5.8 + 6.1y = 5.6 + -6.7y + 6.7y Combine like terms: -6.7y + 6.7y = 0.0 5.8 + 6.1y = 5.6 + 0.0 5.8 + 6.1y = 5.6 Add '-5.8' to each side of the equation. 5.8 + -5.8 + 6.1y = 5.6 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + 6.1y = 5.6 + -5.8 6.1y = 5.6 + -5.8 Combine like terms: 5.6 + -5.8 = -0.2 6.1y = -0.2 Divide each side by '6.1'. y = -0.03278688525 Simplifying y = -0.03278688525
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