3y-10+y+38=7y+30-5y

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Solution for 3y-10+y+38=7y+30-5y equation: 


Simplifying
3y + -10 + y + 38 = 7y + 30 + -5y

Reorder the terms:
-10 + 38 + 3y + y = 7y + 30 + -5y

Combine like terms: -10 + 38 = 28
28 + 3y + y = 7y + 30 + -5y

Combine like terms: 3y + y = 4y
28 + 4y = 7y + 30 + -5y

Reorder the terms:
28 + 4y = 30 + 7y + -5y

Combine like terms: 7y + -5y = 2y
28 + 4y = 30 + 2y

Solving
28 + 4y = 30 + 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.
28 + 4y + -2y = 30 + 2y + -2y

Combine like terms: 4y + -2y = 2y
28 + 2y = 30 + 2y + -2y

Combine like terms: 2y + -2y = 0
28 + 2y = 30 + 0
28 + 2y = 30

Add '-28' to each side of the equation.
28 + -28 + 2y = 30 + -28

Combine like terms: 28 + -28 = 0
0 + 2y = 30 + -28
2y = 30 + -28

Combine like terms: 30 + -28 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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