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Simplifying 3.2y + -4.6 = 0.7y + 0.4 Reorder the terms: -4.6 + 3.2y = 0.7y + 0.4 Reorder the terms: -4.6 + 3.2y = 0.4 + 0.7y Solving -4.6 + 3.2y = 0.4 + 0.7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.7y' to each side of the equation. -4.6 + 3.2y + -0.7y = 0.4 + 0.7y + -0.7y Combine like terms: 3.2y + -0.7y = 2.5y -4.6 + 2.5y = 0.4 + 0.7y + -0.7y Combine like terms: 0.7y + -0.7y = 0.0 -4.6 + 2.5y = 0.4 + 0.0 -4.6 + 2.5y = 0.4 Add '4.6' to each side of the equation. -4.6 + 4.6 + 2.5y = 0.4 + 4.6 Combine like terms: -4.6 + 4.6 = 0.0 0.0 + 2.5y = 0.4 + 4.6 2.5y = 0.4 + 4.6 Combine like terms: 0.4 + 4.6 = 5 2.5y = 5 Divide each side by '2.5'. y = 2 Simplifying y = 2
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