7y-2=5y+12

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Solution for 7y-2=5y+12 equation:


Simplifying
7y + -2 = 5y + 12

Reorder the terms:
-2 + 7y = 5y + 12

Reorder the terms:
-2 + 7y = 12 + 5y

Solving
-2 + 7y = 12 + 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.
-2 + 7y + -5y = 12 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-2 + 2y = 12 + 5y + -5y

Combine like terms: 5y + -5y = 0
-2 + 2y = 12 + 0
-2 + 2y = 12

Add '2' to each side of the equation.
-2 + 2 + 2y = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 2y = 12 + 2
2y = 12 + 2

Combine like terms: 12 + 2 = 14
2y = 14

Divide each side by '2'.
y = 7

Simplifying
y = 7

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