5y-14=2y-6

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Solution for 5y-14=2y-6 equation:


Simplifying
5y + -14 = 2y + -6

Reorder the terms:
-14 + 5y = 2y + -6

Reorder the terms:
-14 + 5y = -6 + 2y

Solving
-14 + 5y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-14 + 5y + -2y = -6 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-14 + 3y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-14 + 3y = -6 + 0
-14 + 3y = -6

Add '14' to each side of the equation.
-14 + 14 + 3y = -6 + 14

Combine like terms: -14 + 14 = 0
0 + 3y = -6 + 14
3y = -6 + 14

Combine like terms: -6 + 14 = 8
3y = 8

Divide each side by '3'.
y = 2.666666667

Simplifying
y = 2.666666667

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