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Simplifying 6(y + 2.6) = 3(3.4 + -1y) Reorder the terms: 6(2.6 + y) = 3(3.4 + -1y) (2.6 * 6 + y * 6) = 3(3.4 + -1y) (15.6 + 6y) = 3(3.4 + -1y) 15.6 + 6y = (3.4 * 3 + -1y * 3) 15.6 + 6y = (10.2 + -3y) Solving 15.6 + 6y = 10.2 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 15.6 + 6y + 3y = 10.2 + -3y + 3y Combine like terms: 6y + 3y = 9y 15.6 + 9y = 10.2 + -3y + 3y Combine like terms: -3y + 3y = 0 15.6 + 9y = 10.2 + 0 15.6 + 9y = 10.2 Add '-15.6' to each side of the equation. 15.6 + -15.6 + 9y = 10.2 + -15.6 Combine like terms: 15.6 + -15.6 = 0.0 0.0 + 9y = 10.2 + -15.6 9y = 10.2 + -15.6 Combine like terms: 10.2 + -15.6 = -5.4 9y = -5.4 Divide each side by '9'. y = -0.6 Simplifying y = -0.6
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