5y-16=3y+20

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Solution for 5y-16=3y+20 equation:


Simplifying
5y + -16 = 3y + 20

Reorder the terms:
-16 + 5y = 3y + 20

Reorder the terms:
-16 + 5y = 20 + 3y

Solving
-16 + 5y = 20 + 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.
-16 + 5y + -3y = 20 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-16 + 2y = 20 + 3y + -3y

Combine like terms: 3y + -3y = 0
-16 + 2y = 20 + 0
-16 + 2y = 20

Add '16' to each side of the equation.
-16 + 16 + 2y = 20 + 16

Combine like terms: -16 + 16 = 0
0 + 2y = 20 + 16
2y = 20 + 16

Combine like terms: 20 + 16 = 36
2y = 36

Divide each side by '2'.
y = 18

Simplifying
y = 18

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