6y-7=2y+21-5y

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Solution for 6y-7=2y+21-5y equation:


Simplifying
6y + -7 = 2y + 21 + -5y

Reorder the terms:
-7 + 6y = 2y + 21 + -5y

Reorder the terms:
-7 + 6y = 21 + 2y + -5y

Combine like terms: 2y + -5y = -3y
-7 + 6y = 21 + -3y

Solving
-7 + 6y = 21 + -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.
-7 + 6y + 3y = 21 + -3y + 3y

Combine like terms: 6y + 3y = 9y
-7 + 9y = 21 + -3y + 3y

Combine like terms: -3y + 3y = 0
-7 + 9y = 21 + 0
-7 + 9y = 21

Add '7' to each side of the equation.
-7 + 7 + 9y = 21 + 7

Combine like terms: -7 + 7 = 0
0 + 9y = 21 + 7
9y = 21 + 7

Combine like terms: 21 + 7 = 28
9y = 28

Divide each side by '9'.
y = 3.111111111

Simplifying
y = 3.111111111

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