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Simplifying 6y + 3 + -8y + -9b + 7 = 0 Reorder the terms: 3 + 7 + -9b + 6y + -8y = 0 Combine like terms: 3 + 7 = 10 10 + -9b + 6y + -8y = 0 Combine like terms: 6y + -8y = -2y 10 + -9b + -2y = 0 Solving 10 + -9b + -2y = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -9b + -10 + -2y = 0 + -10 Reorder the terms: 10 + -10 + -9b + -2y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9b + -2y = 0 + -10 -9b + -2y = 0 + -10 Combine like terms: 0 + -10 = -10 -9b + -2y = -10 Add '2y' to each side of the equation. -9b + -2y + 2y = -10 + 2y Combine like terms: -2y + 2y = 0 -9b + 0 = -10 + 2y -9b = -10 + 2y Divide each side by '-9'. b = 1.111111111 + -0.2222222222y Simplifying b = 1.111111111 + -0.2222222222y
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