5y-8=3y+12

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Solution for 5y-8=3y+12 equation:


Simplifying
5y + -8 = 3y + 12

Reorder the terms:
-8 + 5y = 3y + 12

Reorder the terms:
-8 + 5y = 12 + 3y

Solving
-8 + 5y = 12 + 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.
-8 + 5y + -3y = 12 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-8 + 2y = 12 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + 2y = 12 + 0
-8 + 2y = 12

Add '8' to each side of the equation.
-8 + 8 + 2y = 12 + 8

Combine like terms: -8 + 8 = 0
0 + 2y = 12 + 8
2y = 12 + 8

Combine like terms: 12 + 8 = 20
2y = 20

Divide each side by '2'.
y = 10

Simplifying
y = 10

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