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Simplifying 38 = 8 + 6(y + 2) Reorder the terms: 38 = 8 + 6(2 + y) 38 = 8 + (2 * 6 + y * 6) 38 = 8 + (12 + 6y) Combine like terms: 8 + 12 = 20 38 = 20 + 6y Solving 38 = 20 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 38 + -6y = 20 + 6y + -6y Combine like terms: 6y + -6y = 0 38 + -6y = 20 + 0 38 + -6y = 20 Add '-38' to each side of the equation. 38 + -38 + -6y = 20 + -38 Combine like terms: 38 + -38 = 0 0 + -6y = 20 + -38 -6y = 20 + -38 Combine like terms: 20 + -38 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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