7y-4=5y+8

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Solution for 7y-4=5y+8 equation:


Simplifying
7y + -4 = 5y + 8

Reorder the terms:
-4 + 7y = 5y + 8

Reorder the terms:
-4 + 7y = 8 + 5y

Solving
-4 + 7y = 8 + 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.
-4 + 7y + -5y = 8 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-4 + 2y = 8 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4 + 2y = 8 + 0
-4 + 2y = 8

Add '4' to each side of the equation.
-4 + 4 + 2y = 8 + 4

Combine like terms: -4 + 4 = 0
0 + 2y = 8 + 4
2y = 8 + 4

Combine like terms: 8 + 4 = 12
2y = 12

Divide each side by '2'.
y = 6

Simplifying
y = 6

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