2y-4(y+1)=-(5y+4)+y

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Solution for 2y-4(y+1)=-(5y+4)+y equation:


Simplifying
2y + -4(y + 1) = -1(5y + 4) + y

Reorder the terms:
2y + -4(1 + y) = -1(5y + 4) + y
2y + (1 * -4 + y * -4) = -1(5y + 4) + y
2y + (-4 + -4y) = -1(5y + 4) + y

Reorder the terms:
-4 + 2y + -4y = -1(5y + 4) + y

Combine like terms: 2y + -4y = -2y
-4 + -2y = -1(5y + 4) + y

Reorder the terms:
-4 + -2y = -1(4 + 5y) + y
-4 + -2y = (4 * -1 + 5y * -1) + y
-4 + -2y = (-4 + -5y) + y

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

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

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

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

Solving
-2y = -4y

Solving for variable 'y'.

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

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

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

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

Divide each side by '2'.
y = 0

Simplifying
y = 0

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