5y-5+y+23=7y+20-3y

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Solution for 5y-5+y+23=7y+20-3y equation:


Simplifying
5y + -5 + y + 23 = 7y + 20 + -3y

Reorder the terms:
-5 + 23 + 5y + y = 7y + 20 + -3y

Combine like terms: -5 + 23 = 18
18 + 5y + y = 7y + 20 + -3y

Combine like terms: 5y + y = 6y
18 + 6y = 7y + 20 + -3y

Reorder the terms:
18 + 6y = 20 + 7y + -3y

Combine like terms: 7y + -3y = 4y
18 + 6y = 20 + 4y

Solving
18 + 6y = 20 + 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.
18 + 6y + -4y = 20 + 4y + -4y

Combine like terms: 6y + -4y = 2y
18 + 2y = 20 + 4y + -4y

Combine like terms: 4y + -4y = 0
18 + 2y = 20 + 0
18 + 2y = 20

Add '-18' to each side of the equation.
18 + -18 + 2y = 20 + -18

Combine like terms: 18 + -18 = 0
0 + 2y = 20 + -18
2y = 20 + -18

Combine like terms: 20 + -18 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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