4y-9+y=33+3y-4y

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Solution for 4y-9+y=33+3y-4y equation:


Simplifying
4y + -9 + y = 33 + 3y + -4y

Reorder the terms:
-9 + 4y + y = 33 + 3y + -4y

Combine like terms: 4y + y = 5y
-9 + 5y = 33 + 3y + -4y

Combine like terms: 3y + -4y = -1y
-9 + 5y = 33 + -1y

Solving
-9 + 5y = 33 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-9 + 5y + y = 33 + -1y + y

Combine like terms: 5y + y = 6y
-9 + 6y = 33 + -1y + y

Combine like terms: -1y + y = 0
-9 + 6y = 33 + 0
-9 + 6y = 33

Add '9' to each side of the equation.
-9 + 9 + 6y = 33 + 9

Combine like terms: -9 + 9 = 0
0 + 6y = 33 + 9
6y = 33 + 9

Combine like terms: 33 + 9 = 42
6y = 42

Divide each side by '6'.
y = 7

Simplifying
y = 7

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