7y-5=14y+51

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Solution for 7y-5=14y+51 equation:


Simplifying
7y + -5 = 14y + 51

Reorder the terms:
-5 + 7y = 14y + 51

Reorder the terms:
-5 + 7y = 51 + 14y

Solving
-5 + 7y = 51 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
-5 + 7y + -14y = 51 + 14y + -14y

Combine like terms: 7y + -14y = -7y
-5 + -7y = 51 + 14y + -14y

Combine like terms: 14y + -14y = 0
-5 + -7y = 51 + 0
-5 + -7y = 51

Add '5' to each side of the equation.
-5 + 5 + -7y = 51 + 5

Combine like terms: -5 + 5 = 0
0 + -7y = 51 + 5
-7y = 51 + 5

Combine like terms: 51 + 5 = 56
-7y = 56

Divide each side by '-7'.
y = -8

Simplifying
y = -8

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