2y+14=5y-4

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Solution for 2y+14=5y-4 equation:


Simplifying
2y + 14 = 5y + -4

Reorder the terms:
14 + 2y = 5y + -4

Reorder the terms:
14 + 2y = -4 + 5y

Solving
14 + 2y = -4 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
14 + 2y + -5y = -4 + 5y + -5y

Combine like terms: 2y + -5y = -3y
14 + -3y = -4 + 5y + -5y

Combine like terms: 5y + -5y = 0
14 + -3y = -4 + 0
14 + -3y = -4

Add '-14' to each side of the equation.
14 + -14 + -3y = -4 + -14

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

Combine like terms: -4 + -14 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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