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Simplifying 9.1 = 3.2y + -2.5(3.2 + -1y) 9.1 = 3.2y + (3.2 * -2.5 + -1y * -2.5) 9.1 = 3.2y + (-8 + 2.5y) Reorder the terms: 9.1 = -8 + 3.2y + 2.5y Combine like terms: 3.2y + 2.5y = 5.7y 9.1 = -8 + 5.7y Solving 9.1 = -8 + 5.7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.7y' to each side of the equation. 9.1 + -5.7y = -8 + 5.7y + -5.7y Combine like terms: 5.7y + -5.7y = 0.0 9.1 + -5.7y = -8 + 0.0 9.1 + -5.7y = -8 Add '-9.1' to each side of the equation. 9.1 + -9.1 + -5.7y = -8 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + -5.7y = -8 + -9.1 -5.7y = -8 + -9.1 Combine like terms: -8 + -9.1 = -17.1 -5.7y = -17.1 Divide each side by '-5.7'. y = 3 Simplifying y = 3
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