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Simplifying -4(y + 6) = -5y Reorder the terms: -4(6 + y) = -5y (6 * -4 + y * -4) = -5y (-24 + -4y) = -5y Solving -24 + -4y = -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -24 + -4y + 5y = -5y + 5y Combine like terms: -4y + 5y = 1y -24 + 1y = -5y + 5y Combine like terms: -5y + 5y = 0 -24 + 1y = 0 Add '24' to each side of the equation. -24 + 24 + 1y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 1y = 0 + 24 1y = 0 + 24 Combine like terms: 0 + 24 = 24 1y = 24 Divide each side by '1'. y = 24 Simplifying y = 24
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