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Simplifying 5(7bx + y) = 34bx + -4y (7bx * 5 + y * 5) = 34bx + -4y (35bx + 5y) = 34bx + -4y Solving 35bx + 5y = 34bx + -4y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-34bx' to each side of the equation. 35bx + -34bx + 5y = 34bx + -34bx + -4y Combine like terms: 35bx + -34bx = 1bx 1bx + 5y = 34bx + -34bx + -4y Combine like terms: 34bx + -34bx = 0 1bx + 5y = 0 + -4y 1bx + 5y = -4y Add '-5y' to each side of the equation. 1bx + 5y + -5y = -4y + -5y Combine like terms: 5y + -5y = 0 1bx + 0 = -4y + -5y 1bx = -4y + -5y Combine like terms: -4y + -5y = -9y 1bx = -9y Divide each side by '1x'. b = -9x-1y Simplifying b = -9x-1y
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