3y-8+y+38=5y+30-3y

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Solution for 3y-8+y+38=5y+30-3y equation:


Simplifying
3y + -8 + y + 38 = 5y + 30 + -3y

Reorder the terms:
-8 + 38 + 3y + y = 5y + 30 + -3y

Combine like terms: -8 + 38 = 30
30 + 3y + y = 5y + 30 + -3y

Combine like terms: 3y + y = 4y
30 + 4y = 5y + 30 + -3y

Reorder the terms:
30 + 4y = 30 + 5y + -3y

Combine like terms: 5y + -3y = 2y
30 + 4y = 30 + 2y

Add '-30' to each side of the equation.
30 + -30 + 4y = 30 + -30 + 2y

Combine like terms: 30 + -30 = 0
0 + 4y = 30 + -30 + 2y
4y = 30 + -30 + 2y

Combine like terms: 30 + -30 = 0
4y = 0 + 2y
4y = 2y

Solving
4y = 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
4y + -2y = 2y + -2y

Combine like terms: 4y + -2y = 2y
2y = 2y + -2y

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

Divide each side by '2'.
y = 0

Simplifying
y = 0

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