3y-4+y=31+2y-3y

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Solution for 3y-4+y=31+2y-3y equation:


Simplifying
3y + -4 + y = 31 + 2y + -3y

Reorder the terms:
-4 + 3y + y = 31 + 2y + -3y

Combine like terms: 3y + y = 4y
-4 + 4y = 31 + 2y + -3y

Combine like terms: 2y + -3y = -1y
-4 + 4y = 31 + -1y

Solving
-4 + 4y = 31 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-4 + 4y + y = 31 + -1y + y

Combine like terms: 4y + y = 5y
-4 + 5y = 31 + -1y + y

Combine like terms: -1y + y = 0
-4 + 5y = 31 + 0
-4 + 5y = 31

Add '4' to each side of the equation.
-4 + 4 + 5y = 31 + 4

Combine like terms: -4 + 4 = 0
0 + 5y = 31 + 4
5y = 31 + 4

Combine like terms: 31 + 4 = 35
5y = 35

Divide each side by '5'.
y = 7

Simplifying
y = 7

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