2y+14=4y-16

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Solution for 2y+14=4y-16 equation:


Simplifying
2y + 14 = 4y + -16

Reorder the terms:
14 + 2y = 4y + -16

Reorder the terms:
14 + 2y = -16 + 4y

Solving
14 + 2y = -16 + 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 + 2y + -4y = -16 + 4y + -4y

Combine like terms: 2y + -4y = -2y
14 + -2y = -16 + 4y + -4y

Combine like terms: 4y + -4y = 0
14 + -2y = -16 + 0
14 + -2y = -16

Add '-14' to each side of the equation.
14 + -14 + -2y = -16 + -14

Combine like terms: 14 + -14 = 0
0 + -2y = -16 + -14
-2y = -16 + -14

Combine like terms: -16 + -14 = -30
-2y = -30

Divide each side by '-2'.
y = 15

Simplifying
y = 15

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