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Simplifying 99y + 7b + -8y + 16 + -440 + 44b = 138 Reorder the terms: 16 + -440 + 7b + 44b + 99y + -8y = 138 Combine like terms: 16 + -440 = -424 -424 + 7b + 44b + 99y + -8y = 138 Combine like terms: 7b + 44b = 51b -424 + 51b + 99y + -8y = 138 Combine like terms: 99y + -8y = 91y -424 + 51b + 91y = 138 Solving -424 + 51b + 91y = 138 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '424' to each side of the equation. -424 + 51b + 424 + 91y = 138 + 424 Reorder the terms: -424 + 424 + 51b + 91y = 138 + 424 Combine like terms: -424 + 424 = 0 0 + 51b + 91y = 138 + 424 51b + 91y = 138 + 424 Combine like terms: 138 + 424 = 562 51b + 91y = 562 Add '-91y' to each side of the equation. 51b + 91y + -91y = 562 + -91y Combine like terms: 91y + -91y = 0 51b + 0 = 562 + -91y 51b = 562 + -91y Divide each side by '51'. b = 11.01960784 + -1.784313725y Simplifying b = 11.01960784 + -1.784313725y
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