4y-2+y+36=6y+40-4y

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Solution for 4y-2+y+36=6y+40-4y equation:


Simplifying
4y + -2 + y + 36 = 6y + 40 + -4y

Reorder the terms:
-2 + 36 + 4y + y = 6y + 40 + -4y

Combine like terms: -2 + 36 = 34
34 + 4y + y = 6y + 40 + -4y

Combine like terms: 4y + y = 5y
34 + 5y = 6y + 40 + -4y

Reorder the terms:
34 + 5y = 40 + 6y + -4y

Combine like terms: 6y + -4y = 2y
34 + 5y = 40 + 2y

Solving
34 + 5y = 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 + 5y + -2y = 40 + 2y + -2y

Combine like terms: 5y + -2y = 3y
34 + 3y = 40 + 2y + -2y

Combine like terms: 2y + -2y = 0
34 + 3y = 40 + 0
34 + 3y = 40

Add '-34' to each side of the equation.
34 + -34 + 3y = 40 + -34

Combine like terms: 34 + -34 = 0
0 + 3y = 40 + -34
3y = 40 + -34

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

Divide each side by '3'.
y = 2

Simplifying
y = 2

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