5y+14=7y-30

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Solution for 5y+14=7y-30 equation:


Simplifying
5y + 14 = 7y + -30

Reorder the terms:
14 + 5y = 7y + -30

Reorder the terms:
14 + 5y = -30 + 7y

Solving
14 + 5y = -30 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
14 + 5y + -7y = -30 + 7y + -7y

Combine like terms: 5y + -7y = -2y
14 + -2y = -30 + 7y + -7y

Combine like terms: 7y + -7y = 0
14 + -2y = -30 + 0
14 + -2y = -30

Add '-14' to each side of the equation.
14 + -14 + -2y = -30 + -14

Combine like terms: 14 + -14 = 0
0 + -2y = -30 + -14
-2y = -30 + -14

Combine like terms: -30 + -14 = -44
-2y = -44

Divide each side by '-2'.
y = 22

Simplifying
y = 22

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