7y-8=4y+31

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Solution for 7y-8=4y+31 equation:


Simplifying
7y + -8 = 4y + 31

Reorder the terms:
-8 + 7y = 4y + 31

Reorder the terms:
-8 + 7y = 31 + 4y

Solving
-8 + 7y = 31 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-8 + 7y + -4y = 31 + 4y + -4y

Combine like terms: 7y + -4y = 3y
-8 + 3y = 31 + 4y + -4y

Combine like terms: 4y + -4y = 0
-8 + 3y = 31 + 0
-8 + 3y = 31

Add '8' to each side of the equation.
-8 + 8 + 3y = 31 + 8

Combine like terms: -8 + 8 = 0
0 + 3y = 31 + 8
3y = 31 + 8

Combine like terms: 31 + 8 = 39
3y = 39

Divide each side by '3'.
y = 13

Simplifying
y = 13

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