robert7248
Answered

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

Sagot :

igoroleshko156

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Answer:  [tex]\textsf{y = 4/11}[/tex]

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Given: [tex]\textsf{2y + 14 = 6(4y + 1)}[/tex]

Find:  [tex]\textsf{Solve for y}[/tex]

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

  • [tex]\textsf{2y + 14 = (6 * 4y) + (6 * 1)}[/tex]
  • [tex]\textsf{2y + 14 = 24y + 6}[/tex]

Subtract 14 from both sides

  • [tex]\textsf{2y + 14 - 14 = 24y + 6 - 14}[/tex]
  • [tex]\textsf{2y = 24y + 6 - 14}[/tex]
  • [tex]\textsf{2y = 24y - 8}[/tex]

Subtract 24y from both sides

  • [tex]\textsf{2y - 24y = 24y - 24y - 8}[/tex]
  • [tex]\textsf{2y - 24y = -8}[/tex]
  • [tex]\textsf{-22y = -8}[/tex]

Divide both sides by -22

  • [tex]\textsf{-22y/-22 = -8/-22}[/tex]
  • [tex]\textsf{y = -8/-22}[/tex]
  • [tex]\textsf{y = 8/22}[/tex]
  • [tex]\textsf{y = 4/11}[/tex]

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

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