Question

Can somebody walk me through this?
2 y + 14 = 6 ( 4 y + 1 )

Answer 1

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Answer:
`\textsf{y = 4/11}`

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Given:
`\textsf{2y + 14 = 6(4y + 1)}`

Find:
`\textsf{Solve for y}`

Solution: In order to solve for y we need to distribute the ride side of the expression, simplify, subtract 14 from both sides, subtract 24y from both sides, and divide both sides by -22.

Distribute and simplify

• 
  `\textsf{2y + 14 = (6 * 4y) + (6 * 1)}`

• 
  `\textsf{2y + 14 = 24y + 6}`

Subtract 14 from both sides

• 
  `\textsf{2y + 14 - 14 = 24y + 6 - 14}`

• 
  `\textsf{2y = 24y + 6 - 14}`

• 
  `\textsf{2y = 24y - 8}`

Subtract 24y from both sides

• 
  `\textsf{2y - 24y = 24y - 24y - 8}`

• 
  `\textsf{2y - 24y = -8}`

• 
  `\textsf{-22y = -8}`

Divide both sides by -22

• 
  `\textsf{-22y/-22 = -8/-22}`

• 
  `\textsf{y = -8/-22}`

• 
  `\textsf{y = 8/22}`

• 
  `\textsf{y = 4/11}`

Therefore, the expression simplifies down to y = 4/11.