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Simplifying (8y + -7) + -1(-2b + 7) = 0 Reorder the terms: (-7 + 8y) + -1(-2b + 7) = 0 Remove parenthesis around (-7 + 8y) -7 + 8y + -1(-2b + 7) = 0 Reorder the terms: -7 + 8y + -1(7 + -2b) = 0 -7 + 8y + (7 * -1 + -2b * -1) = 0 -7 + 8y + (-7 + 2b) = 0 Reorder the terms: -7 + -7 + 2b + 8y = 0 Combine like terms: -7 + -7 = -14 -14 + 2b + 8y = 0 Solving -14 + 2b + 8y = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 2b + 14 + 8y = 0 + 14 Reorder the terms: -14 + 14 + 2b + 8y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2b + 8y = 0 + 14 2b + 8y = 0 + 14 Combine like terms: 0 + 14 = 14 2b + 8y = 14 Add '-8y' to each side of the equation. 2b + 8y + -8y = 14 + -8y Combine like terms: 8y + -8y = 0 2b + 0 = 14 + -8y 2b = 14 + -8y Divide each side by '2'. b = 7 + -4y Simplifying b = 7 + -4y
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