4y-10+y+34=5y+30-2y

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Solution for 4y-10+y+34=5y+30-2y equation:


Simplifying
4y + -10 + y + 34 = 5y + 30 + -2y

Reorder the terms:
-10 + 34 + 4y + y = 5y + 30 + -2y

Combine like terms: -10 + 34 = 24
24 + 4y + y = 5y + 30 + -2y

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

Reorder the terms:
24 + 5y = 30 + 5y + -2y

Combine like terms: 5y + -2y = 3y
24 + 5y = 30 + 3y

Solving
24 + 5y = 30 + 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.
24 + 5y + -3y = 30 + 3y + -3y

Combine like terms: 5y + -3y = 2y
24 + 2y = 30 + 3y + -3y

Combine like terms: 3y + -3y = 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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