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