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Simplifying 6(y + 5) = 2(b + 3y) Reorder the terms: 6(5 + y) = 2(b + 3y) (5 * 6 + y * 6) = 2(b + 3y) (30 + 6y) = 2(b + 3y) 30 + 6y = (b * 2 + 3y * 2) 30 + 6y = (2b + 6y) Add '-6y' to each side of the equation. 30 + 6y + -6y = 2b + 6y + -6y Combine like terms: 6y + -6y = 0 30 + 0 = 2b + 6y + -6y 30 = 2b + 6y + -6y Combine like terms: 6y + -6y = 0 30 = 2b + 0 30 = 2b Solving 30 = 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 30 + -2b = 2b + -2b Combine like terms: 2b + -2b = 0 30 + -2b = 0 Add '-30' to each side of the equation. 30 + -30 + -2b = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2b = 0 + -30 -2b = 0 + -30 Combine like terms: 0 + -30 = -30 -2b = -30 Divide each side by '-2'. b = 15 Simplifying b = 15
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