-(y+4)+2y=4(2y-4)-(6y+1)

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Solution for -(y+4)+2y=4(2y-4)-(6y+1) equation:


Simplifying
-1(y + 4) + 2y = 4(2y + -4) + -1(6y + 1)

Reorder the terms:
-1(4 + y) + 2y = 4(2y + -4) + -1(6y + 1)
(4 * -1 + y * -1) + 2y = 4(2y + -4) + -1(6y + 1)
(-4 + -1y) + 2y = 4(2y + -4) + -1(6y + 1)

Combine like terms: -1y + 2y = 1y
-4 + 1y = 4(2y + -4) + -1(6y + 1)

Reorder the terms:
-4 + 1y = 4(-4 + 2y) + -1(6y + 1)
-4 + 1y = (-4 * 4 + 2y * 4) + -1(6y + 1)
-4 + 1y = (-16 + 8y) + -1(6y + 1)

Reorder the terms:
-4 + 1y = -16 + 8y + -1(1 + 6y)
-4 + 1y = -16 + 8y + (1 * -1 + 6y * -1)
-4 + 1y = -16 + 8y + (-1 + -6y)

Reorder the terms:
-4 + 1y = -16 + -1 + 8y + -6y

Combine like terms: -16 + -1 = -17
-4 + 1y = -17 + 8y + -6y

Combine like terms: 8y + -6y = 2y
-4 + 1y = -17 + 2y

Solving
-4 + 1y = -17 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-4 + 1y + -2y = -17 + 2y + -2y

Combine like terms: 1y + -2y = -1y
-4 + -1y = -17 + 2y + -2y

Combine like terms: 2y + -2y = 0
-4 + -1y = -17 + 0
-4 + -1y = -17

Add '4' to each side of the equation.
-4 + 4 + -1y = -17 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = -17 + 4
-1y = -17 + 4

Combine like terms: -17 + 4 = -13
-1y = -13

Divide each side by '-1'.
y = 13

Simplifying
y = 13

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