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Simplifying 8.5 = 3.5y + -2.5(5.4 + -6y) 8.5 = 3.5y + (5.4 * -2.5 + -6y * -2.5) 8.5 = 3.5y + (-13.5 + 15y) Reorder the terms: 8.5 = -13.5 + 3.5y + 15y Combine like terms: 3.5y + 15y = 18.5y 8.5 = -13.5 + 18.5y Solving 8.5 = -13.5 + 18.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18.5y' to each side of the equation. 8.5 + -18.5y = -13.5 + 18.5y + -18.5y Combine like terms: 18.5y + -18.5y = 0.0 8.5 + -18.5y = -13.5 + 0.0 8.5 + -18.5y = -13.5 Add '-8.5' to each side of the equation. 8.5 + -8.5 + -18.5y = -13.5 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -18.5y = -13.5 + -8.5 -18.5y = -13.5 + -8.5 Combine like terms: -13.5 + -8.5 = -22 -18.5y = -22 Divide each side by '-18.5'. y = 1.189189189 Simplifying y = 1.189189189
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