4y-4(4y+2)=1-3(-4-y)

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Solution for 4y-4(4y+2)=1-3(-4-y) equation: 


Simplifying
4y + -4(4y + 2) = 1 + -3(-4 + -1y)

Reorder the terms:
4y + -4(2 + 4y) = 1 + -3(-4 + -1y)
4y + (2 * -4 + 4y * -4) = 1 + -3(-4 + -1y)
4y + (-8 + -16y) = 1 + -3(-4 + -1y)

Reorder the terms:
-8 + 4y + -16y = 1 + -3(-4 + -1y)

Combine like terms: 4y + -16y = -12y
-8 + -12y = 1 + -3(-4 + -1y)
-8 + -12y = 1 + (-4 * -3 + -1y * -3)
-8 + -12y = 1 + (12 + 3y)

Combine like terms: 1 + 12 = 13
-8 + -12y = 13 + 3y

Solving
-8 + -12y = 13 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-8 + -12y + -3y = 13 + 3y + -3y

Combine like terms: -12y + -3y = -15y
-8 + -15y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + -15y = 13 + 0
-8 + -15y = 13

Add '8' to each side of the equation.
-8 + 8 + -15y = 13 + 8

Combine like terms: -8 + 8 = 0
0 + -15y = 13 + 8
-15y = 13 + 8

Combine like terms: 13 + 8 = 21
-15y = 21

Divide each side by '-15'.
y = -1.4

Simplifying
y = -1.4

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