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Simplifying 2x + 8y + 3b + -6x = 34y Reorder the terms: 3b + 2x + -6x + 8y = 34y Combine like terms: 2x + -6x = -4x 3b + -4x + 8y = 34y Solving 3b + -4x + 8y = 34y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4x' to each side of the equation. 3b + -4x + 4x + 8y = 4x + 34y Combine like terms: -4x + 4x = 0 3b + 0 + 8y = 4x + 34y 3b + 8y = 4x + 34y Add '-8y' to each side of the equation. 3b + 8y + -8y = 4x + 34y + -8y Combine like terms: 8y + -8y = 0 3b + 0 = 4x + 34y + -8y 3b = 4x + 34y + -8y Combine like terms: 34y + -8y = 26y 3b = 4x + 26y Divide each side by '3'. b = 1.333333333x + 8.666666667y Simplifying b = 1.333333333x + 8.666666667y
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