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Simplifying 3.7y + 7 = 8.1y + -19.4 Reorder the terms: 7 + 3.7y = 8.1y + -19.4 Reorder the terms: 7 + 3.7y = -19.4 + 8.1y Solving 7 + 3.7y = -19.4 + 8.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8.1y' to each side of the equation. 7 + 3.7y + -8.1y = -19.4 + 8.1y + -8.1y Combine like terms: 3.7y + -8.1y = -4.4y 7 + -4.4y = -19.4 + 8.1y + -8.1y Combine like terms: 8.1y + -8.1y = 0.0 7 + -4.4y = -19.4 + 0.0 7 + -4.4y = -19.4 Add '-7' to each side of the equation. 7 + -7 + -4.4y = -19.4 + -7 Combine like terms: 7 + -7 = 0 0 + -4.4y = -19.4 + -7 -4.4y = -19.4 + -7 Combine like terms: -19.4 + -7 = -26.4 -4.4y = -26.4 Divide each side by '-4.4'. y = 6 Simplifying y = 6
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