5y-7+y=7y+21-57

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Solution for 5y-7+y=7y+21-57 equation:


Simplifying
5y + -7 + y = 7y + 21 + -57

Reorder the terms:
-7 + 5y + y = 7y + 21 + -57

Combine like terms: 5y + y = 6y
-7 + 6y = 7y + 21 + -57

Reorder the terms:
-7 + 6y = 21 + -57 + 7y

Combine like terms: 21 + -57 = -36
-7 + 6y = -36 + 7y

Solving
-7 + 6y = -36 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-7 + 6y + -7y = -36 + 7y + -7y

Combine like terms: 6y + -7y = -1y
-7 + -1y = -36 + 7y + -7y

Combine like terms: 7y + -7y = 0
-7 + -1y = -36 + 0
-7 + -1y = -36

Add '7' to each side of the equation.
-7 + 7 + -1y = -36 + 7

Combine like terms: -7 + 7 = 0
0 + -1y = -36 + 7
-1y = -36 + 7

Combine like terms: -36 + 7 = -29
-1y = -29

Divide each side by '-1'.
y = 29

Simplifying
y = 29

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