7y-9=5y+33

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Solution for 7y-9=5y+33 equation:


Simplifying
7y + -9 = 5y + 33

Reorder the terms:
-9 + 7y = 5y + 33

Reorder the terms:
-9 + 7y = 33 + 5y

Solving
-9 + 7y = 33 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-9 + 7y + -5y = 33 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-9 + 2y = 33 + 5y + -5y

Combine like terms: 5y + -5y = 0
-9 + 2y = 33 + 0
-9 + 2y = 33

Add '9' to each side of the equation.
-9 + 9 + 2y = 33 + 9

Combine like terms: -9 + 9 = 0
0 + 2y = 33 + 9
2y = 33 + 9

Combine like terms: 33 + 9 = 42
2y = 42

Divide each side by '2'.
y = 21

Simplifying
y = 21

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