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Simplifying 2(y + b) + 12 = 10y Reorder the terms: 2(b + y) + 12 = 10y (b * 2 + y * 2) + 12 = 10y (2b + 2y) + 12 = 10y Reorder the terms: 12 + 2b + 2y = 10y Solving 12 + 2b + 2y = 10y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 2b + -12 + 2y = -12 + 10y Reorder the terms: 12 + -12 + 2b + 2y = -12 + 10y Combine like terms: 12 + -12 = 0 0 + 2b + 2y = -12 + 10y 2b + 2y = -12 + 10y Add '-2y' to each side of the equation. 2b + 2y + -2y = -12 + 10y + -2y Combine like terms: 2y + -2y = 0 2b + 0 = -12 + 10y + -2y 2b = -12 + 10y + -2y Combine like terms: 10y + -2y = 8y 2b = -12 + 8y Divide each side by '2'. b = -6 + 4y Simplifying b = -6 + 4y
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