7y-4=y+5+28

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Solution for 7y-4=y+5+28 equation:


Simplifying
7y + -4 = y + 5 + 28

Reorder the terms:
-4 + 7y = y + 5 + 28

Reorder the terms:
-4 + 7y = 5 + 28 + y

Combine like terms: 5 + 28 = 33
-4 + 7y = 33 + y

Solving
-4 + 7y = 33 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-4 + 7y + -1y = 33 + y + -1y

Combine like terms: 7y + -1y = 6y
-4 + 6y = 33 + y + -1y

Combine like terms: y + -1y = 0
-4 + 6y = 33 + 0
-4 + 6y = 33

Add '4' to each side of the equation.
-4 + 4 + 6y = 33 + 4

Combine like terms: -4 + 4 = 0
0 + 6y = 33 + 4
6y = 33 + 4

Combine like terms: 33 + 4 = 37
6y = 37

Divide each side by '6'.
y = 6.166666667

Simplifying
y = 6.166666667

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