(5y-3)=(3y+15)

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Solution for (5y-3)=(3y+15) equation:


Simplifying
(5y + -3) = (3y + 15)

Reorder the terms:
(-3 + 5y) = (3y + 15)

Remove parenthesis around (-3 + 5y)
-3 + 5y = (3y + 15)

Reorder the terms:
-3 + 5y = (15 + 3y)

Remove parenthesis around (15 + 3y)
-3 + 5y = 15 + 3y

Solving
-3 + 5y = 15 + 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.
-3 + 5y + -3y = 15 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-3 + 2y = 15 + 3y + -3y

Combine like terms: 3y + -3y = 0
-3 + 2y = 15 + 0
-3 + 2y = 15

Add '3' to each side of the equation.
-3 + 3 + 2y = 15 + 3

Combine like terms: -3 + 3 = 0
0 + 2y = 15 + 3
2y = 15 + 3

Combine like terms: 15 + 3 = 18
2y = 18

Divide each side by '2'.
y = 9

Simplifying
y = 9

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