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Simplifying 4(b + -1y) = 7b (b * 4 + -1y * 4) = 7b (4b + -4y) = 7b Solving 4b + -4y = 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 4b + -7b + -4y = 7b + -7b Combine like terms: 4b + -7b = -3b -3b + -4y = 7b + -7b Combine like terms: 7b + -7b = 0 -3b + -4y = 0 Add '4y' to each side of the equation. -3b + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 -3b + 0 = 0 + 4y -3b = 0 + 4y Remove the zero: -3b = 4y Divide each side by '-3'. b = -1.333333333y Simplifying b = -1.333333333y
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