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Simplifying 2y + -8 + 4(2y + 2) = -2(y + 4) Reorder the terms: 2y + -8 + 4(2 + 2y) = -2(y + 4) 2y + -8 + (2 * 4 + 2y * 4) = -2(y + 4) 2y + -8 + (8 + 8y) = -2(y + 4) Reorder the terms: -8 + 8 + 2y + 8y = -2(y + 4) Combine like terms: -8 + 8 = 0 0 + 2y + 8y = -2(y + 4) 2y + 8y = -2(y + 4) Combine like terms: 2y + 8y = 10y 10y = -2(y + 4) Reorder the terms: 10y = -2(4 + y) 10y = (4 * -2 + y * -2) 10y = (-8 + -2y) Solving 10y = -8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 10y + 2y = -8 + -2y + 2y Combine like terms: 10y + 2y = 12y 12y = -8 + -2y + 2y Combine like terms: -2y + 2y = 0 12y = -8 + 0 12y = -8 Divide each side by '12'. y = -0.6666666667 Simplifying y = -0.6666666667
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