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Simplifying 6(y + 4.1) = (5.6 + -1y) Reorder the terms: 6(4.1 + y) = (5.6 + -1y) (4.1 * 6 + y * 6) = (5.6 + -1y) (24.6 + 6y) = (5.6 + -1y) Remove parenthesis around (5.6 + -1y) 24.6 + 6y = 5.6 + -1y Solving 24.6 + 6y = 5.6 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 24.6 + 6y + y = 5.6 + -1y + y Combine like terms: 6y + y = 7y 24.6 + 7y = 5.6 + -1y + y Combine like terms: -1y + y = 0 24.6 + 7y = 5.6 + 0 24.6 + 7y = 5.6 Add '-24.6' to each side of the equation. 24.6 + -24.6 + 7y = 5.6 + -24.6 Combine like terms: 24.6 + -24.6 = 0.0 0.0 + 7y = 5.6 + -24.6 7y = 5.6 + -24.6 Combine like terms: 5.6 + -24.6 = -19 7y = -19 Divide each side by '7'. y = -2.714285714 Simplifying y = -2.714285714
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