(5y-2)=(3y+7)

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Solution for (5y-2)=(3y+7) equation:


Simplifying
(5y + -2) = (3y + 7)

Reorder the terms:
(-2 + 5y) = (3y + 7)

Remove parenthesis around (-2 + 5y)
-2 + 5y = (3y + 7)

Reorder the terms:
-2 + 5y = (7 + 3y)

Remove parenthesis around (7 + 3y)
-2 + 5y = 7 + 3y

Solving
-2 + 5y = 7 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-2 + 5y + -3y = 7 + 3y + -3y

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

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

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

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

Combine like terms: 7 + 2 = 9
2y = 9

Divide each side by '2'.
y = 4.5

Simplifying
y = 4.5

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