Question 145578
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Clear the denominator by multiplying by 2y everywhere
yields y +14 = 4y +2

Simplifying
y + 14 = 4y + 2

Reorder the terms:
14 + y = 4y + 2

Reorder the terms:
14 + y = 2 + 4y

Solving
14 + y = 2 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
14 + y + -4y = 2 + 4y + -4y

Combine like terms: y + -4y = -3y
14 + -3y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
14 + -3y = 2 + 0
14 + -3y = 2

Add '-14' to each side of the equation.
14 + -14 + -3y = 2 + -14

Combine like terms: 14 + -14 = 0
0 + -3y = 2 + -14
-3y = 2 + -14

Combine like terms: 2 + -14 = -12
-3y = -12

Divide each side by '-3'.
y = 4

Simplifying
y = 4