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Simplifying 8(5bx + y) = 39bx + -6y (5bx * 8 + y * 8) = 39bx + -6y (40bx + 8y) = 39bx + -6y Solving 40bx + 8y = 39bx + -6y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-39bx' to each side of the equation. 40bx + -39bx + 8y = 39bx + -39bx + -6y Combine like terms: 40bx + -39bx = 1bx 1bx + 8y = 39bx + -39bx + -6y Combine like terms: 39bx + -39bx = 0 1bx + 8y = 0 + -6y 1bx + 8y = -6y Add '-8y' to each side of the equation. 1bx + 8y + -8y = -6y + -8y Combine like terms: 8y + -8y = 0 1bx + 0 = -6y + -8y 1bx = -6y + -8y Combine like terms: -6y + -8y = -14y 1bx = -14y Divide each side by '1x'. b = -14x-1y Simplifying b = -14x-1y
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