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Simplifying 4.6y + -7.6 = 6.8 + 3.8y Reorder the terms: -7.6 + 4.6y = 6.8 + 3.8y Solving -7.6 + 4.6y = 6.8 + 3.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.8y' to each side of the equation. -7.6 + 4.6y + -3.8y = 6.8 + 3.8y + -3.8y Combine like terms: 4.6y + -3.8y = 0.8y -7.6 + 0.8y = 6.8 + 3.8y + -3.8y Combine like terms: 3.8y + -3.8y = 0.0 -7.6 + 0.8y = 6.8 + 0.0 -7.6 + 0.8y = 6.8 Add '7.6' to each side of the equation. -7.6 + 7.6 + 0.8y = 6.8 + 7.6 Combine like terms: -7.6 + 7.6 = 0.0 0.0 + 0.8y = 6.8 + 7.6 0.8y = 6.8 + 7.6 Combine like terms: 6.8 + 7.6 = 14.4 0.8y = 14.4 Divide each side by '0.8'. y = 18 Simplifying y = 18
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