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Simplifying 4.2 + (-0.4y) = 9 + (-1y) Solving 4.2 + (-0.4y) = 9 + (-1y) Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '(y)' to each side of the equation. 4.2 + (-0.4y) + (y) = 9 + (-1y) + (y) 4.2 + (-0.4y) + y = 9 + (-1y) + (y) Combine like terms: (-0.4y) + y = 0.6y 4.2 + 0.6y = 9 + (-1y) + (y) 4.2 + 0.6y = 9 + (-1y) + y Combine like terms: (-1y) + y = 0 4.2 + 0.6y = 9 + 0 4.2 + 0.6y = 9 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.6y = 9 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.6y = 9 + -4.2 0.6y = 9 + -4.2 Combine like terms: 9 + -4.2 = 4.8 0.6y = 4.8 Divide each side by '0.6'. y = 8 Simplifying y = 8
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