y-4=2y+2-7y

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Solution for y-4=2y+2-7y equation:


Simplifying
y + -4 = 2y + 2 + -7y

Reorder the terms:
-4 + y = 2y + 2 + -7y

Reorder the terms:
-4 + y = 2 + 2y + -7y

Combine like terms: 2y + -7y = -5y
-4 + y = 2 + -5y

Solving
-4 + y = 2 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-4 + y + 5y = 2 + -5y + 5y

Combine like terms: y + 5y = 6y
-4 + 6y = 2 + -5y + 5y

Combine like terms: -5y + 5y = 0
-4 + 6y = 2 + 0
-4 + 6y = 2

Add '4' to each side of the equation.
-4 + 4 + 6y = 2 + 4

Combine like terms: -4 + 4 = 0
0 + 6y = 2 + 4
6y = 2 + 4

Combine like terms: 2 + 4 = 6
6y = 6

Divide each side by '6'.
y = 1

Simplifying
y = 1

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