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Simplifying 9y + 38 = -5(y + -2) Reorder the terms: 38 + 9y = -5(y + -2) Reorder the terms: 38 + 9y = -5(-2 + y) 38 + 9y = (-2 * -5 + y * -5) 38 + 9y = (10 + -5y) Solving 38 + 9y = 10 + -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. 38 + 9y + 5y = 10 + -5y + 5y Combine like terms: 9y + 5y = 14y 38 + 14y = 10 + -5y + 5y Combine like terms: -5y + 5y = 0 38 + 14y = 10 + 0 38 + 14y = 10 Add '-38' to each side of the equation. 38 + -38 + 14y = 10 + -38 Combine like terms: 38 + -38 = 0 0 + 14y = 10 + -38 14y = 10 + -38 Combine like terms: 10 + -38 = -28 14y = -28 Divide each side by '14'. y = -2 Simplifying y = -2
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