5y-7+y+18=7y+20-4y

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Solution for 5y-7+y+18=7y+20-4y equation:


Simplifying
5y + -7 + y + 18 = 7y + 20 + -4y

Reorder the terms:
-7 + 18 + 5y + y = 7y + 20 + -4y

Combine like terms: -7 + 18 = 11
11 + 5y + y = 7y + 20 + -4y

Combine like terms: 5y + y = 6y
11 + 6y = 7y + 20 + -4y

Reorder the terms:
11 + 6y = 20 + 7y + -4y

Combine like terms: 7y + -4y = 3y
11 + 6y = 20 + 3y

Solving
11 + 6y = 20 + 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.
11 + 6y + -3y = 20 + 3y + -3y

Combine like terms: 6y + -3y = 3y
11 + 3y = 20 + 3y + -3y

Combine like terms: 3y + -3y = 0
11 + 3y = 20 + 0
11 + 3y = 20

Add '-11' to each side of the equation.
11 + -11 + 3y = 20 + -11

Combine like terms: 11 + -11 = 0
0 + 3y = 20 + -11
3y = 20 + -11

Combine like terms: 20 + -11 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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