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Simplifying -4 + 8y = -1(2y + 5) Reorder the terms: -4 + 8y = -1(5 + 2y) -4 + 8y = (5 * -1 + 2y * -1) -4 + 8y = (-5 + -2y) Solving -4 + 8y = -5 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -4 + 8y + 2y = -5 + -2y + 2y Combine like terms: 8y + 2y = 10y -4 + 10y = -5 + -2y + 2y Combine like terms: -2y + 2y = 0 -4 + 10y = -5 + 0 -4 + 10y = -5 Add '4' to each side of the equation. -4 + 4 + 10y = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 10y = -5 + 4 10y = -5 + 4 Combine like terms: -5 + 4 = -1 10y = -1 Divide each side by '10'. y = -0.1 Simplifying y = -0.1
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