7y+21-5y=5y-7+1y

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Solution for 7y+21-5y=5y-7+1y equation:


Simplifying
7y + 21 + -5y = 5y + -7 + 1y

Reorder the terms:
21 + 7y + -5y = 5y + -7 + 1y

Combine like terms: 7y + -5y = 2y
21 + 2y = 5y + -7 + 1y

Reorder the terms:
21 + 2y = -7 + 5y + 1y

Combine like terms: 5y + 1y = 6y
21 + 2y = -7 + 6y

Solving
21 + 2y = -7 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
21 + 2y + -6y = -7 + 6y + -6y

Combine like terms: 2y + -6y = -4y
21 + -4y = -7 + 6y + -6y

Combine like terms: 6y + -6y = 0
21 + -4y = -7 + 0
21 + -4y = -7

Add '-21' to each side of the equation.
21 + -21 + -4y = -7 + -21

Combine like terms: 21 + -21 = 0
0 + -4y = -7 + -21
-4y = -7 + -21

Combine like terms: -7 + -21 = -28
-4y = -28

Divide each side by '-4'.
y = 7

Simplifying
y = 7

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