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Simplifying -5(y + 2) = -8y + -40 Reorder the terms: -5(2 + y) = -8y + -40 (2 * -5 + y * -5) = -8y + -40 (-10 + -5y) = -8y + -40 Reorder the terms: -10 + -5y = -40 + -8y Solving -10 + -5y = -40 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -10 + -5y + 8y = -40 + -8y + 8y Combine like terms: -5y + 8y = 3y -10 + 3y = -40 + -8y + 8y Combine like terms: -8y + 8y = 0 -10 + 3y = -40 + 0 -10 + 3y = -40 Add '10' to each side of the equation. -10 + 10 + 3y = -40 + 10 Combine like terms: -10 + 10 = 0 0 + 3y = -40 + 10 3y = -40 + 10 Combine like terms: -40 + 10 = -30 3y = -30 Divide each side by '3'. y = -10 Simplifying y = -10
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