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Simplifying 7(y + -2) + -4(2b + 5) = 9 Reorder the terms: 7(-2 + y) + -4(2b + 5) = 9 (-2 * 7 + y * 7) + -4(2b + 5) = 9 (-14 + 7y) + -4(2b + 5) = 9 Reorder the terms: -14 + 7y + -4(5 + 2b) = 9 -14 + 7y + (5 * -4 + 2b * -4) = 9 -14 + 7y + (-20 + -8b) = 9 Reorder the terms: -14 + -20 + -8b + 7y = 9 Combine like terms: -14 + -20 = -34 -34 + -8b + 7y = 9 Solving -34 + -8b + 7y = 9 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '34' to each side of the equation. -34 + -8b + 34 + 7y = 9 + 34 Reorder the terms: -34 + 34 + -8b + 7y = 9 + 34 Combine like terms: -34 + 34 = 0 0 + -8b + 7y = 9 + 34 -8b + 7y = 9 + 34 Combine like terms: 9 + 34 = 43 -8b + 7y = 43 Add '-7y' to each side of the equation. -8b + 7y + -7y = 43 + -7y Combine like terms: 7y + -7y = 0 -8b + 0 = 43 + -7y -8b = 43 + -7y Divide each side by '-8'. b = -5.375 + 0.875y Simplifying b = -5.375 + 0.875y
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