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Simplifying 4.2y + -8.2 + 2.3y = 0.9y + 6.5y + -9.1 Reorder the terms: -8.2 + 4.2y + 2.3y = 0.9y + 6.5y + -9.1 Combine like terms: 4.2y + 2.3y = 6.5y -8.2 + 6.5y = 0.9y + 6.5y + -9.1 Reorder the terms: -8.2 + 6.5y = -9.1 + 0.9y + 6.5y Combine like terms: 0.9y + 6.5y = 7.4y -8.2 + 6.5y = -9.1 + 7.4y Solving -8.2 + 6.5y = -9.1 + 7.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7.4y' to each side of the equation. -8.2 + 6.5y + -7.4y = -9.1 + 7.4y + -7.4y Combine like terms: 6.5y + -7.4y = -0.9y -8.2 + -0.9y = -9.1 + 7.4y + -7.4y Combine like terms: 7.4y + -7.4y = 0.0 -8.2 + -0.9y = -9.1 + 0.0 -8.2 + -0.9y = -9.1 Add '8.2' to each side of the equation. -8.2 + 8.2 + -0.9y = -9.1 + 8.2 Combine like terms: -8.2 + 8.2 = 0.0 0.0 + -0.9y = -9.1 + 8.2 -0.9y = -9.1 + 8.2 Combine like terms: -9.1 + 8.2 = -0.9 -0.9y = -0.9 Divide each side by '-0.9'. y = 1 Simplifying y = 1
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