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Simplifying 4y + -7 + -7(b + -1y) = 14 4y + -7 + (b * -7 + -1y * -7) = 14 4y + -7 + (-7b + 7y) = 14 Reorder the terms: -7 + -7b + 4y + 7y = 14 Combine like terms: 4y + 7y = 11y -7 + -7b + 11y = 14 Solving -7 + -7b + 11y = 14 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -7b + 7 + 11y = 14 + 7 Reorder the terms: -7 + 7 + -7b + 11y = 14 + 7 Combine like terms: -7 + 7 = 0 0 + -7b + 11y = 14 + 7 -7b + 11y = 14 + 7 Combine like terms: 14 + 7 = 21 -7b + 11y = 21 Add '-11y' to each side of the equation. -7b + 11y + -11y = 21 + -11y Combine like terms: 11y + -11y = 0 -7b + 0 = 21 + -11y -7b = 21 + -11y Divide each side by '-7'. b = -3 + 1.571428571y Simplifying b = -3 + 1.571428571y
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