5y-16=y+20

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


Simplifying
5y + -16 = y + 20

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

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

Solving
-16 + 5y = 20 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-16 + 5y + -1y = 20 + y + -1y

Combine like terms: 5y + -1y = 4y
-16 + 4y = 20 + y + -1y

Combine like terms: y + -1y = 0
-16 + 4y = 20 + 0
-16 + 4y = 20

Add '16' to each side of the equation.
-16 + 16 + 4y = 20 + 16

Combine like terms: -16 + 16 = 0
0 + 4y = 20 + 16
4y = 20 + 16

Combine like terms: 20 + 16 = 36
4y = 36

Divide each side by '4'.
y = 9

Simplifying
y = 9

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