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Simplifying -8 = 4(y + -5) + -8y Reorder the terms: -8 = 4(-5 + y) + -8y -8 = (-5 * 4 + y * 4) + -8y -8 = (-20 + 4y) + -8y Combine like terms: 4y + -8y = -4y -8 = -20 + -4y Solving -8 = -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 + 4y = -20 + -4y + 4y Combine like terms: -4y + 4y = 0 -8 + 4y = -20 + 0 -8 + 4y = -20 Add '8' to each side of the equation. -8 + 8 + 4y = -20 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = -20 + 8 4y = -20 + 8 Combine like terms: -20 + 8 = -12 4y = -12 Divide each side by '4'. y = -3 Simplifying y = -3
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