4y-10+y+47=6+8y+34-6y

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Solution for 4y-10+y+47=6+8y+34-6y equation: 


Simplifying
4y + -10 + y + 47 = 6 + 8y + 34 + -6y

Reorder the terms:
-10 + 47 + 4y + y = 6 + 8y + 34 + -6y

Combine like terms: -10 + 47 = 37
37 + 4y + y = 6 + 8y + 34 + -6y

Combine like terms: 4y + y = 5y
37 + 5y = 6 + 8y + 34 + -6y

Reorder the terms:
37 + 5y = 6 + 34 + 8y + -6y

Combine like terms: 6 + 34 = 40
37 + 5y = 40 + 8y + -6y

Combine like terms: 8y + -6y = 2y
37 + 5y = 40 + 2y

Solving
37 + 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.
37 + 5y + -2y = 40 + 2y + -2y

Combine like terms: 5y + -2y = 3y
37 + 3y = 40 + 2y + -2y

Combine like terms: 2y + -2y = 0
37 + 3y = 40 + 0
37 + 3y = 40

Add '-37' to each side of the equation.
37 + -37 + 3y = 40 + -37

Combine like terms: 37 + -37 = 0
0 + 3y = 40 + -37
3y = 40 + -37

Combine like terms: 40 + -37 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1

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