5y-7+y+47=7y+40-3y

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Solution for 5y-7+y+47=7y+40-3y equation:


Simplifying
5y + -7 + y + 47 = 7y + 40 + -3y

Reorder the terms:
-7 + 47 + 5y + y = 7y + 40 + -3y

Combine like terms: -7 + 47 = 40
40 + 5y + y = 7y + 40 + -3y

Combine like terms: 5y + y = 6y
40 + 6y = 7y + 40 + -3y

Reorder the terms:
40 + 6y = 40 + 7y + -3y

Combine like terms: 7y + -3y = 4y
40 + 6y = 40 + 4y

Add '-40' to each side of the equation.
40 + -40 + 6y = 40 + -40 + 4y

Combine like terms: 40 + -40 = 0
0 + 6y = 40 + -40 + 4y
6y = 40 + -40 + 4y

Combine like terms: 40 + -40 = 0
6y = 0 + 4y
6y = 4y

Solving
6y = 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6y + -4y = 4y + -4y

Combine like terms: 6y + -4y = 2y
2y = 4y + -4y

Combine like terms: 4y + -4y = 0
2y = 0

Divide each side by '2'.
y = 0

Simplifying
y = 0

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