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.