5y-5+y+52=5y+50-2y

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Solution for 5y-5+y+52=5y+50-2y equation:


Simplifying
5y + -5 + y + 52 = 5y + 50 + -2y

Reorder the terms:
-5 + 52 + 5y + y = 5y + 50 + -2y

Combine like terms: -5 + 52 = 47
47 + 5y + y = 5y + 50 + -2y

Combine like terms: 5y + y = 6y
47 + 6y = 5y + 50 + -2y

Reorder the terms:
47 + 6y = 50 + 5y + -2y

Combine like terms: 5y + -2y = 3y
47 + 6y = 50 + 3y

Solving
47 + 6y = 50 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
47 + 6y + -3y = 50 + 3y + -3y

Combine like terms: 6y + -3y = 3y
47 + 3y = 50 + 3y + -3y

Combine like terms: 3y + -3y = 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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