3y-7+y+41=8y+40-6y

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Solution for 3y-7+y+41=8y+40-6y equation: 


Simplifying
3y + -7 + y + 41 = 8y + 40 + -6y

Reorder the terms:
-7 + 41 + 3y + y = 8y + 40 + -6y

Combine like terms: -7 + 41 = 34
34 + 3y + y = 8y + 40 + -6y

Combine like terms: 3y + y = 4y
34 + 4y = 8y + 40 + -6y

Reorder the terms:
34 + 4y = 40 + 8y + -6y

Combine like terms: 8y + -6y = 2y
34 + 4y = 40 + 2y

Solving
34 + 4y = 40 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
34 + 4y + -2y = 40 + 2y + -2y

Combine like terms: 4y + -2y = 2y
34 + 2y = 40 + 2y + -2y

Combine like terms: 2y + -2y = 0
34 + 2y = 40 + 0
34 + 2y = 40

Add '-34' to each side of the equation.
34 + -34 + 2y = 40 + -34

Combine like terms: 34 + -34 = 0
0 + 2y = 40 + -34
2y = 40 + -34

Combine like terms: 40 + -34 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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