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Simplifying 38 + 4y + -11 = 14y + -9 + -4y Reorder the terms: 38 + -11 + 4y = 14y + -9 + -4y Combine like terms: 38 + -11 = 27 27 + 4y = 14y + -9 + -4y Reorder the terms: 27 + 4y = -9 + 14y + -4y Combine like terms: 14y + -4y = 10y 27 + 4y = -9 + 10y Solving 27 + 4y = -9 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 27 + 4y + -10y = -9 + 10y + -10y Combine like terms: 4y + -10y = -6y 27 + -6y = -9 + 10y + -10y Combine like terms: 10y + -10y = 0 27 + -6y = -9 + 0 27 + -6y = -9 Add '-27' to each side of the equation. 27 + -27 + -6y = -9 + -27 Combine like terms: 27 + -27 = 0 0 + -6y = -9 + -27 -6y = -9 + -27 Combine like terms: -9 + -27 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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