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Simplifying 0.4y + -1.2 = 0.15y + 0.8 Reorder the terms: -1.2 + 0.4y = 0.15y + 0.8 Reorder the terms: -1.2 + 0.4y = 0.8 + 0.15y Solving -1.2 + 0.4y = 0.8 + 0.15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.15y' to each side of the equation. -1.2 + 0.4y + -0.15y = 0.8 + 0.15y + -0.15y Combine like terms: 0.4y + -0.15y = 0.25y -1.2 + 0.25y = 0.8 + 0.15y + -0.15y Combine like terms: 0.15y + -0.15y = 0.00 -1.2 + 0.25y = 0.8 + 0.00 -1.2 + 0.25y = 0.8 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.25y = 0.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.25y = 0.8 + 1.2 0.25y = 0.8 + 1.2 Combine like terms: 0.8 + 1.2 = 2 0.25y = 2 Divide each side by '0.25'. y = 8 Simplifying y = 8
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