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Simplifying 3.4 = 6(y + 8.5) Reorder the terms: 3.4 = 6(8.5 + y) 3.4 = (8.5 * 6 + y * 6) 3.4 = (51 + 6y) Solving 3.4 = 51 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 3.4 + -6y = 51 + 6y + -6y Combine like terms: 6y + -6y = 0 3.4 + -6y = 51 + 0 3.4 + -6y = 51 Add '-3.4' to each side of the equation. 3.4 + -3.4 + -6y = 51 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + -6y = 51 + -3.4 -6y = 51 + -3.4 Combine like terms: 51 + -3.4 = 47.6 -6y = 47.6 Divide each side by '-6'. y = -7.933333333 Simplifying y = -7.933333333
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