3y-1+y+37y=6y+40-4y

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Solution for 3y-1+y+37y=6y+40-4y equation:


Simplifying
3y + -1 + y + 37y = 6y + 40 + -4y

Reorder the terms:
-1 + 3y + y + 37y = 6y + 40 + -4y

Combine like terms: 3y + y = 4y
-1 + 4y + 37y = 6y + 40 + -4y

Combine like terms: 4y + 37y = 41y
-1 + 41y = 6y + 40 + -4y

Reorder the terms:
-1 + 41y = 40 + 6y + -4y

Combine like terms: 6y + -4y = 2y
-1 + 41y = 40 + 2y

Solving
-1 + 41y = 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.
-1 + 41y + -2y = 40 + 2y + -2y

Combine like terms: 41y + -2y = 39y
-1 + 39y = 40 + 2y + -2y

Combine like terms: 2y + -2y = 0
-1 + 39y = 40 + 0
-1 + 39y = 40

Add '1' to each side of the equation.
-1 + 1 + 39y = 40 + 1

Combine like terms: -1 + 1 = 0
0 + 39y = 40 + 1
39y = 40 + 1

Combine like terms: 40 + 1 = 41
39y = 41

Divide each side by '39'.
y = 1.051282051

Simplifying
y = 1.051282051

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