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Simplifying 5.1y + -4.1y + -0.4 = 5.6 + 6.4 Reorder the terms: -0.4 + 5.1y + -4.1y = 5.6 + 6.4 Combine like terms: 5.1y + -4.1y = 1y -0.4 + 1y = 5.6 + 6.4 Combine like terms: 5.6 + 6.4 = 12 -0.4 + 1y = 12 Solving -0.4 + 1y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.4 + 1y = 12 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 1y = 12 + 0.4 1y = 12 + 0.4 Combine like terms: 12 + 0.4 = 12.4 1y = 12.4 Divide each side by '1'. y = 12.4 Simplifying y = 12.4
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