-4y-4(-4y+8)=7+1(-4-y)

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Solution for -4y-4(-4y+8)=7+1(-4-y) equation:


Simplifying
-4y + -4(-4y + 8) = 7 + 1(-4 + -1y)

Reorder the terms:
-4y + -4(8 + -4y) = 7 + 1(-4 + -1y)
-4y + (8 * -4 + -4y * -4) = 7 + 1(-4 + -1y)
-4y + (-32 + 16y) = 7 + 1(-4 + -1y)

Reorder the terms:
-32 + -4y + 16y = 7 + 1(-4 + -1y)

Combine like terms: -4y + 16y = 12y
-32 + 12y = 7 + 1(-4 + -1y)
-32 + 12y = 7 + (-4 * 1 + -1y * 1)
-32 + 12y = 7 + (-4 + -1y)

Combine like terms: 7 + -4 = 3
-32 + 12y = 3 + -1y

Solving
-32 + 12y = 3 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-32 + 12y + y = 3 + -1y + y

Combine like terms: 12y + y = 13y
-32 + 13y = 3 + -1y + y

Combine like terms: -1y + y = 0
-32 + 13y = 3 + 0
-32 + 13y = 3

Add '32' to each side of the equation.
-32 + 32 + 13y = 3 + 32

Combine like terms: -32 + 32 = 0
0 + 13y = 3 + 32
13y = 3 + 32

Combine like terms: 3 + 32 = 35
13y = 35

Divide each side by '13'.
y = 2.692307692

Simplifying
y = 2.692307692

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