-(y-4)+3y=4(y+4)

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Solution for -(y-4)+3y=4(y+4) equation:


Simplifying
-1(y + -4) + 3y = 4(y + 4)

Reorder the terms:
-1(-4 + y) + 3y = 4(y + 4)
(-4 * -1 + y * -1) + 3y = 4(y + 4)
(4 + -1y) + 3y = 4(y + 4)

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

Reorder the terms:
4 + 2y = 4(4 + y)
4 + 2y = (4 * 4 + y * 4)
4 + 2y = (16 + 4y)

Solving
4 + 2y = 16 + 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.
4 + 2y + -4y = 16 + 4y + -4y

Combine like terms: 2y + -4y = -2y
4 + -2y = 16 + 4y + -4y

Combine like terms: 4y + -4y = 0
4 + -2y = 16 + 0
4 + -2y = 16

Add '-4' to each side of the equation.
4 + -4 + -2y = 16 + -4

Combine like terms: 4 + -4 = 0
0 + -2y = 16 + -4
-2y = 16 + -4

Combine like terms: 16 + -4 = 12
-2y = 12

Divide each side by '-2'.
y = -6

Simplifying
y = -6

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