(7y-2)=(5y+4)

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Solution for (7y-2)=(5y+4) equation:


Simplifying
(7y + -2) = (5y + 4)

Reorder the terms:
(-2 + 7y) = (5y + 4)

Remove parenthesis around (-2 + 7y)
-2 + 7y = (5y + 4)

Reorder the terms:
-2 + 7y = (4 + 5y)

Remove parenthesis around (4 + 5y)
-2 + 7y = 4 + 5y

Solving
-2 + 7y = 4 + 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 = 4 + 5y + -5y

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

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

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

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

Combine like terms: 4 + 2 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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