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Simplifying 0.8y + 2.8 = -0.5y + 4.1 Reorder the terms: 2.8 + 0.8y = -0.5y + 4.1 Reorder the terms: 2.8 + 0.8y = 4.1 + -0.5y Solving 2.8 + 0.8y = 4.1 + -0.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.5y' to each side of the equation. 2.8 + 0.8y + 0.5y = 4.1 + -0.5y + 0.5y Combine like terms: 0.8y + 0.5y = 1.3y 2.8 + 1.3y = 4.1 + -0.5y + 0.5y Combine like terms: -0.5y + 0.5y = 0.0 2.8 + 1.3y = 4.1 + 0.0 2.8 + 1.3y = 4.1 Add '-2.8' to each side of the equation. 2.8 + -2.8 + 1.3y = 4.1 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 1.3y = 4.1 + -2.8 1.3y = 4.1 + -2.8 Combine like terms: 4.1 + -2.8 = 1.3 1.3y = 1.3 Divide each side by '1.3'. y = 1 Simplifying y = 1
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