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Simplifying 9y + -44 = -5(y + -8) Reorder the terms: -44 + 9y = -5(y + -8) Reorder the terms: -44 + 9y = -5(-8 + y) -44 + 9y = (-8 * -5 + y * -5) -44 + 9y = (40 + -5y) Solving -44 + 9y = 40 + -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. -44 + 9y + 5y = 40 + -5y + 5y Combine like terms: 9y + 5y = 14y -44 + 14y = 40 + -5y + 5y Combine like terms: -5y + 5y = 0 -44 + 14y = 40 + 0 -44 + 14y = 40 Add '44' to each side of the equation. -44 + 44 + 14y = 40 + 44 Combine like terms: -44 + 44 = 0 0 + 14y = 40 + 44 14y = 40 + 44 Combine like terms: 40 + 44 = 84 14y = 84 Divide each side by '14'. y = 6 Simplifying y = 6
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