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Simplifying 2y + -8 + 2(2y + 4) = -3(y + 2) Reorder the terms: 2y + -8 + 2(4 + 2y) = -3(y + 2) 2y + -8 + (4 * 2 + 2y * 2) = -3(y + 2) 2y + -8 + (8 + 4y) = -3(y + 2) Reorder the terms: -8 + 8 + 2y + 4y = -3(y + 2) Combine like terms: -8 + 8 = 0 0 + 2y + 4y = -3(y + 2) 2y + 4y = -3(y + 2) Combine like terms: 2y + 4y = 6y 6y = -3(y + 2) Reorder the terms: 6y = -3(2 + y) 6y = (2 * -3 + y * -3) 6y = (-6 + -3y) Solving 6y = -6 + -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. 6y + 3y = -6 + -3y + 3y Combine like terms: 6y + 3y = 9y 9y = -6 + -3y + 3y Combine like terms: -3y + 3y = 0 9y = -6 + 0 9y = -6 Divide each side by '9'. y = -0.6666666667 Simplifying y = -0.6666666667
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