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Simplifying 7 + y(b + 1) = c Reorder the terms: 7 + y(1 + b) = c 7 + (1 * y + b * y) = c Reorder the terms: 7 + (by + 1y) = c 7 + (by + 1y) = c Solving 7 + by + 1y = c Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + by + -7 + 1y = -7 + c Reorder the terms: 7 + -7 + by + 1y = -7 + c Combine like terms: 7 + -7 = 0 0 + by + 1y = -7 + c by + 1y = -7 + c Add '-1y' to each side of the equation. by + 1y + -1y = -7 + c + -1y Combine like terms: 1y + -1y = 0 by + 0 = -7 + c + -1y by = -7 + c + -1y Divide each side by 'y'. b = -7y-1 + cy-1 + -1 Simplifying b = -7y-1 + cy-1 + -1 Reorder the terms: b = -1 + cy-1 + -7y-1
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