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Simplifying 2y + 8 = -4(y + -6) Reorder the terms: 8 + 2y = -4(y + -6) Reorder the terms: 8 + 2y = -4(-6 + y) 8 + 2y = (-6 * -4 + y * -4) 8 + 2y = (24 + -4y) Solving 8 + 2y = 24 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 8 + 2y + 4y = 24 + -4y + 4y Combine like terms: 2y + 4y = 6y 8 + 6y = 24 + -4y + 4y Combine like terms: -4y + 4y = 0 8 + 6y = 24 + 0 8 + 6y = 24 Add '-8' to each side of the equation. 8 + -8 + 6y = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 6y = 24 + -8 6y = 24 + -8 Combine like terms: 24 + -8 = 16 6y = 16 Divide each side by '6'. y = 2.666666667 Simplifying y = 2.666666667
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