5y-3=2y+9

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Solution for 5y-3=2y+9 equation:


Simplifying
5y + -3 = 2y + 9

Reorder the terms:
-3 + 5y = 2y + 9

Reorder the terms:
-3 + 5y = 9 + 2y

Solving
-3 + 5y = 9 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-3 + 5y + -2y = 9 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-3 + 3y = 9 + 2y + -2y

Combine like terms: 2y + -2y = 0
-3 + 3y = 9 + 0
-3 + 3y = 9

Add '3' to each side of the equation.
-3 + 3 + 3y = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 3y = 9 + 3
3y = 9 + 3

Combine like terms: 9 + 3 = 12
3y = 12

Divide each side by '3'.
y = 4

Simplifying
y = 4

 

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