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Simplifying -9y + 22 = 5(y + -4) Reorder the terms: 22 + -9y = 5(y + -4) Reorder the terms: 22 + -9y = 5(-4 + y) 22 + -9y = (-4 * 5 + y * 5) 22 + -9y = (-20 + 5y) Solving 22 + -9y = -20 + 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. 22 + -9y + -5y = -20 + 5y + -5y Combine like terms: -9y + -5y = -14y 22 + -14y = -20 + 5y + -5y Combine like terms: 5y + -5y = 0 22 + -14y = -20 + 0 22 + -14y = -20 Add '-22' to each side of the equation. 22 + -22 + -14y = -20 + -22 Combine like terms: 22 + -22 = 0 0 + -14y = -20 + -22 -14y = -20 + -22 Combine like terms: -20 + -22 = -42 -14y = -42 Divide each side by '-14'. y = 3 Simplifying y = 3
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