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B=4(8−y)B=4(8-y)

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Factor sums and differences of cubesright chevron icon

Full solution

Q. B=4(8−y)B=4(8-y)
  1. Distribute 44 across parentheses: We are given the equation B=4(8−y)B = 4(8 - y).\newlineTo find the value of yy, we need to solve for yy in this equation.\newlineFirst, we can distribute the 44 across the parentheses.\newlineSo, B=4×8−4×yB = 4 \times 8 - 4 \times y.
  2. Perform multiplication: Now, we perform the multiplication.\newline4×8=324 \times 8 = 32 and 4×y=4y4 \times y = 4y.\newlineSo, the equation becomes B=32−4yB = 32 - 4y.
  3. Isolate yy in equation: To solve for yy, we need to isolate yy on one side of the equation.\newlineWe can start by subtracting 3232 from both sides of the equation.\newlineThis gives us B−32=−4yB - 32 = -4y.
  4. Divide by −4-4: Now, we divide both sides of the equation by −4-4 to solve for yy.(B−32)/−4=y.(B - 32) / -4 = y.
  5. Express yy in terms of BB: We have now isolated yy and expressed it in terms of BB. So, the value of yy in terms of BB is y=B−32−4y = \frac{B - 32}{-4}.

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