(7y-3)=(5y+7)

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Solution for (7y-3)=(5y+7) equation:


Simplifying
(7y + -3) = (5y + 7)

Reorder the terms:
(-3 + 7y) = (5y + 7)

Remove parenthesis around (-3 + 7y)
-3 + 7y = (5y + 7)

Reorder the terms:
-3 + 7y = (7 + 5y)

Remove parenthesis around (7 + 5y)
-3 + 7y = 7 + 5y

Solving
-3 + 7y = 7 + 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.
-3 + 7y + -5y = 7 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-3 + 2y = 7 + 5y + -5y

Combine like terms: 5y + -5y = 0
-3 + 2y = 7 + 0
-3 + 2y = 7

Add '3' to each side of the equation.
-3 + 3 + 2y = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 7 + 3
2y = 7 + 3

Combine like terms: 7 + 3 = 10
2y = 10

Divide each side by '2'.
y = 5

Simplifying
y = 5

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