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Simplifying -2y + 8 = -4(y + 5) Reorder the terms: 8 + -2y = -4(y + 5) Reorder the terms: 8 + -2y = -4(5 + y) 8 + -2y = (5 * -4 + y * -4) 8 + -2y = (-20 + -4y) Solving 8 + -2y = -20 + -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 = -20 + -4y + 4y Combine like terms: -2y + 4y = 2y 8 + 2y = -20 + -4y + 4y Combine like terms: -4y + 4y = 0 8 + 2y = -20 + 0 8 + 2y = -20 Add '-8' to each side of the equation. 8 + -8 + 2y = -20 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = -20 + -8 2y = -20 + -8 Combine like terms: -20 + -8 = -28 2y = -28 Divide each side by '2'. y = -14 Simplifying y = -14
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