7y-5=3y+33

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Solution for 7y-5=3y+33 equation:


Simplifying
7y + -5 = 3y + 33

Reorder the terms:
-5 + 7y = 3y + 33

Reorder the terms:
-5 + 7y = 33 + 3y

Solving
-5 + 7y = 33 + 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.
-5 + 7y + -3y = 33 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-5 + 4y = 33 + 3y + -3y

Combine like terms: 3y + -3y = 0
-5 + 4y = 33 + 0
-5 + 4y = 33

Add '5' to each side of the equation.
-5 + 5 + 4y = 33 + 5

Combine like terms: -5 + 5 = 0
0 + 4y = 33 + 5
4y = 33 + 5

Combine like terms: 33 + 5 = 38
4y = 38

Divide each side by '4'.
y = 9.5

Simplifying
y = 9.5

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