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Simplifying 3.65y + -4.5 + 4.6 = 6.34y + -8.32 Reorder the terms: -4.5 + 4.6 + 3.65y = 6.34y + -8.32 Combine like terms: -4.5 + 4.6 = 0.1 0.1 + 3.65y = 6.34y + -8.32 Reorder the terms: 0.1 + 3.65y = -8.32 + 6.34y Solving 0.1 + 3.65y = -8.32 + 6.34y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6.34y' to each side of the equation. 0.1 + 3.65y + -6.34y = -8.32 + 6.34y + -6.34y Combine like terms: 3.65y + -6.34y = -2.69y 0.1 + -2.69y = -8.32 + 6.34y + -6.34y Combine like terms: 6.34y + -6.34y = 0.00 0.1 + -2.69y = -8.32 + 0.00 0.1 + -2.69y = -8.32 Add '-0.1' to each side of the equation. 0.1 + -0.1 + -2.69y = -8.32 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + -2.69y = -8.32 + -0.1 -2.69y = -8.32 + -0.1 Combine like terms: -8.32 + -0.1 = -8.42 -2.69y = -8.42 Divide each side by '-2.69'. y = 3.130111524 Simplifying y = 3.130111524
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