7y-4(y-2)-y=4y-2(y-4)

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Solution for 7y-4(y-2)-y=4y-2(y-4) equation: 


Simplifying
7y + -4(y + -2) + -1y = 4y + -2(y + -4)

Reorder the terms:
7y + -4(-2 + y) + -1y = 4y + -2(y + -4)
7y + (-2 * -4 + y * -4) + -1y = 4y + -2(y + -4)
7y + (8 + -4y) + -1y = 4y + -2(y + -4)

Reorder the terms:
8 + 7y + -4y + -1y = 4y + -2(y + -4)

Combine like terms: 7y + -4y = 3y
8 + 3y + -1y = 4y + -2(y + -4)

Combine like terms: 3y + -1y = 2y
8 + 2y = 4y + -2(y + -4)

Reorder the terms:
8 + 2y = 4y + -2(-4 + y)
8 + 2y = 4y + (-4 * -2 + y * -2)
8 + 2y = 4y + (8 + -2y)

Reorder the terms:
8 + 2y = 8 + 4y + -2y

Combine like terms: 4y + -2y = 2y
8 + 2y = 8 + 2y

Add '-8' to each side of the equation.
8 + -8 + 2y = 8 + -8 + 2y

Combine like terms: 8 + -8 = 0
0 + 2y = 8 + -8 + 2y
2y = 8 + -8 + 2y

Combine like terms: 8 + -8 = 0
2y = 0 + 2y
2y = 2y

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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