3y-10+y+34=7y+30-5y

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Solution for 3y-10+y+34=7y+30-5y equation: 


Simplifying
3y + -10 + y + 34 = 7y + 30 + -5y

Reorder the terms:
-10 + 34 + 3y + y = 7y + 30 + -5y

Combine like terms: -10 + 34 = 24
24 + 3y + y = 7y + 30 + -5y

Combine like terms: 3y + y = 4y
24 + 4y = 7y + 30 + -5y

Reorder the terms:
24 + 4y = 30 + 7y + -5y

Combine like terms: 7y + -5y = 2y
24 + 4y = 30 + 2y

Solving
24 + 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.
24 + 4y + -2y = 30 + 2y + -2y

Combine like terms: 4y + -2y = 2y
24 + 2y = 30 + 2y + -2y

Combine like terms: 2y + -2y = 0
24 + 2y = 30 + 0
24 + 2y = 30

Add '-24' to each side of the equation.
24 + -24 + 2y = 30 + -24

Combine like terms: 24 + -24 = 0
0 + 2y = 30 + -24
2y = 30 + -24

Combine like terms: 30 + -24 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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