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Simplifying 38 = 6(y + 7) + -8y Reorder the terms: 38 = 6(7 + y) + -8y 38 = (7 * 6 + y * 6) + -8y 38 = (42 + 6y) + -8y Combine like terms: 6y + -8y = -2y 38 = 42 + -2y Solving 38 = 42 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 38 + 2y = 42 + -2y + 2y Combine like terms: -2y + 2y = 0 38 + 2y = 42 + 0 38 + 2y = 42 Add '-38' to each side of the equation. 38 + -38 + 2y = 42 + -38 Combine like terms: 38 + -38 = 0 0 + 2y = 42 + -38 2y = 42 + -38 Combine like terms: 42 + -38 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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