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Simplifying 4(2bx + -3y) = 7(bx + 2) (2bx * 4 + -3y * 4) = 7(bx + 2) (8bx + -12y) = 7(bx + 2) Reorder the terms: 8bx + -12y = 7(2 + bx) 8bx + -12y = (2 * 7 + bx * 7) 8bx + -12y = (14 + 7bx) Solving 8bx + -12y = 14 + 7bx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7bx' to each side of the equation. 8bx + -7bx + -12y = 14 + 7bx + -7bx Combine like terms: 8bx + -7bx = 1bx 1bx + -12y = 14 + 7bx + -7bx Combine like terms: 7bx + -7bx = 0 1bx + -12y = 14 + 0 1bx + -12y = 14 Add '12y' to each side of the equation. 1bx + -12y + 12y = 14 + 12y Combine like terms: -12y + 12y = 0 1bx + 0 = 14 + 12y 1bx = 14 + 12y Divide each side by '1x'. b = 14x-1 + 12x-1y Simplifying b = 14x-1 + 12x-1y
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