3y-8+4y=y+40

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Solution for 3y-8+4y=y+40 equation:


Simplifying
3y + -8 + 4y = y + 40

Reorder the terms:
-8 + 3y + 4y = y + 40

Combine like terms: 3y + 4y = 7y
-8 + 7y = y + 40

Reorder the terms:
-8 + 7y = 40 + y

Solving
-8 + 7y = 40 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-8 + 7y + -1y = 40 + y + -1y

Combine like terms: 7y + -1y = 6y
-8 + 6y = 40 + y + -1y

Combine like terms: y + -1y = 0
-8 + 6y = 40 + 0
-8 + 6y = 40

Add '8' to each side of the equation.
-8 + 8 + 6y = 40 + 8

Combine like terms: -8 + 8 = 0
0 + 6y = 40 + 8
6y = 40 + 8

Combine like terms: 40 + 8 = 48
6y = 48

Divide each side by '6'.
y = 8

Simplifying
y = 8

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