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Simplifying 12y + b = b(2y + 1) Reorder the terms: b + 12y = b(2y + 1) Reorder the terms: b + 12y = b(1 + 2y) b + 12y = (1 * b + 2y * b) b + 12y = (1b + 2by) Solving b + 12y = 1b + 2by Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. b + -1b + 12y = 1b + -1b + 2by Combine like terms: b + -1b = 0 0 + 12y = 1b + -1b + 2by 12y = 1b + -1b + 2by Combine like terms: 1b + -1b = 0 12y = 0 + 2by 12y = 2by Add '-2by' to each side of the equation. -2by + 12y = 2by + -2by Combine like terms: 2by + -2by = 0 -2by + 12y = 0 Add '-12y' to each side of the equation. -2by + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 -2by + 0 = 0 + -12y -2by = 0 + -12y Remove the zero: -2by = -12y Divide each side by '-2y'. b = 6 Simplifying b = 6
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