3y-74=31-7y

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Solution for 3y-74=31-7y equation:


Simplifying
3y + -74 = 31 + -7y

Reorder the terms:
-74 + 3y = 31 + -7y

Solving
-74 + 3y = 31 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-74 + 3y + 7y = 31 + -7y + 7y

Combine like terms: 3y + 7y = 10y
-74 + 10y = 31 + -7y + 7y

Combine like terms: -7y + 7y = 0
-74 + 10y = 31 + 0
-74 + 10y = 31

Add '74' to each side of the equation.
-74 + 74 + 10y = 31 + 74

Combine like terms: -74 + 74 = 0
0 + 10y = 31 + 74
10y = 31 + 74

Combine like terms: 31 + 74 = 105
10y = 105

Divide each side by '10'.
y = 10.5

Simplifying
y = 10.5

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