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Simplifying -5(y + 4) = 8 + -4y Reorder the terms: -5(4 + y) = 8 + -4y (4 * -5 + y * -5) = 8 + -4y (-20 + -5y) = 8 + -4y Solving -20 + -5y = 8 + -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. -20 + -5y + 4y = 8 + -4y + 4y Combine like terms: -5y + 4y = -1y -20 + -1y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 -20 + -1y = 8 + 0 -20 + -1y = 8 Add '20' to each side of the equation. -20 + 20 + -1y = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -1y = 8 + 20 -1y = 8 + 20 Combine like terms: 8 + 20 = 28 -1y = 28 Divide each side by '-1'. y = -28 Simplifying y = -28
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