4y-5+y+31=5y+30-2y

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Solution for 4y-5+y+31=5y+30-2y equation:


Simplifying
4y + -5 + y + 31 = 5y + 30 + -2y

Reorder the terms:
-5 + 31 + 4y + y = 5y + 30 + -2y

Combine like terms: -5 + 31 = 26
26 + 4y + y = 5y + 30 + -2y

Combine like terms: 4y + y = 5y
26 + 5y = 5y + 30 + -2y

Reorder the terms:
26 + 5y = 30 + 5y + -2y

Combine like terms: 5y + -2y = 3y
26 + 5y = 30 + 3y

Solving
26 + 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.
26 + 5y + -3y = 30 + 3y + -3y

Combine like terms: 5y + -3y = 2y
26 + 2y = 30 + 3y + -3y

Combine like terms: 3y + -3y = 0
26 + 2y = 30 + 0
26 + 2y = 30

Add '-26' to each side of the equation.
26 + -26 + 2y = 30 + -26

Combine like terms: 26 + -26 = 0
0 + 2y = 30 + -26
2y = 30 + -26

Combine like terms: 30 + -26 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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