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Simplifying 4.6y + 5.1 = 5.1y + 3.1 Reorder the terms: 5.1 + 4.6y = 5.1y + 3.1 Reorder the terms: 5.1 + 4.6y = 3.1 + 5.1y Solving 5.1 + 4.6y = 3.1 + 5.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.1y' to each side of the equation. 5.1 + 4.6y + -5.1y = 3.1 + 5.1y + -5.1y Combine like terms: 4.6y + -5.1y = -0.5y 5.1 + -0.5y = 3.1 + 5.1y + -5.1y Combine like terms: 5.1y + -5.1y = 0.0 5.1 + -0.5y = 3.1 + 0.0 5.1 + -0.5y = 3.1 Add '-5.1' to each side of the equation. 5.1 + -5.1 + -0.5y = 3.1 + -5.1 Combine like terms: 5.1 + -5.1 = 0.0 0.0 + -0.5y = 3.1 + -5.1 -0.5y = 3.1 + -5.1 Combine like terms: 3.1 + -5.1 = -2 -0.5y = -2 Divide each side by '-0.5'. y = 4 Simplifying y = 4
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