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Simplifying 5.3y + 0.42 = 3.02y + -2.43 Reorder the terms: 0.42 + 5.3y = 3.02y + -2.43 Reorder the terms: 0.42 + 5.3y = -2.43 + 3.02y Solving 0.42 + 5.3y = -2.43 + 3.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.02y' to each side of the equation. 0.42 + 5.3y + -3.02y = -2.43 + 3.02y + -3.02y Combine like terms: 5.3y + -3.02y = 2.28y 0.42 + 2.28y = -2.43 + 3.02y + -3.02y Combine like terms: 3.02y + -3.02y = 0.00 0.42 + 2.28y = -2.43 + 0.00 0.42 + 2.28y = -2.43 Add '-0.42' to each side of the equation. 0.42 + -0.42 + 2.28y = -2.43 + -0.42 Combine like terms: 0.42 + -0.42 = 0.00 0.00 + 2.28y = -2.43 + -0.42 2.28y = -2.43 + -0.42 Combine like terms: -2.43 + -0.42 = -2.85 2.28y = -2.85 Divide each side by '2.28'. y = -1.25 Simplifying y = -1.25
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