4y-2+y+49=7y+50-5y

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Solution for 4y-2+y+49=7y+50-5y equation: 


Simplifying
4y + -2 + y + 49 = 7y + 50 + -5y

Reorder the terms:
-2 + 49 + 4y + y = 7y + 50 + -5y

Combine like terms: -2 + 49 = 47
47 + 4y + y = 7y + 50 + -5y

Combine like terms: 4y + y = 5y
47 + 5y = 7y + 50 + -5y

Reorder the terms:
47 + 5y = 50 + 7y + -5y

Combine like terms: 7y + -5y = 2y
47 + 5y = 50 + 2y

Solving
47 + 5y = 50 + 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.
47 + 5y + -2y = 50 + 2y + -2y

Combine like terms: 5y + -2y = 3y
47 + 3y = 50 + 2y + -2y

Combine like terms: 2y + -2y = 0
47 + 3y = 50 + 0
47 + 3y = 50

Add '-47' to each side of the equation.
47 + -47 + 3y = 50 + -47

Combine like terms: 47 + -47 = 0
0 + 3y = 50 + -47
3y = 50 + -47

Combine like terms: 50 + -47 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1

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