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) = (5y + 4) + y

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

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

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

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

Remove parenthesis around (4 + 5y)
-4 + -2y = 4 + 5y + y

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

Solving
-4 + -2y = 4 + 6y

Solving for variable 'y'.

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

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

Combine like terms: -2y + -6y = -8y
-4 + -8y = 4 + 6y + -6y

Combine like terms: 6y + -6y = 0
-4 + -8y = 4 + 0
-4 + -8y = 4

Add '4' to each side of the equation.
-4 + 4 + -8y = 4 + 4

Combine like terms: -4 + 4 = 0
0 + -8y = 4 + 4
-8y = 4 + 4

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

Divide each side by '-8'.
y = -1

Simplifying
y = -1

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