4(y+8)=4(-2y-1)

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Solution for 4(y+8)=4(-2y-1) equation: 


Simplifying
4(y + 8) = 4(-2y + -1)

Reorder the terms:
4(8 + y) = 4(-2y + -1)
(8 * 4 + y * 4) = 4(-2y + -1)
(32 + 4y) = 4(-2y + -1)

Reorder the terms:
32 + 4y = 4(-1 + -2y)
32 + 4y = (-1 * 4 + -2y * 4)
32 + 4y = (-4 + -8y)

Solving
32 + 4y = -4 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
32 + 4y + 8y = -4 + -8y + 8y

Combine like terms: 4y + 8y = 12y
32 + 12y = -4 + -8y + 8y

Combine like terms: -8y + 8y = 0
32 + 12y = -4 + 0
32 + 12y = -4

Add '-32' to each side of the equation.
32 + -32 + 12y = -4 + -32

Combine like terms: 32 + -32 = 0
0 + 12y = -4 + -32
12y = -4 + -32

Combine like terms: -4 + -32 = -36
12y = -36

Divide each side by '12'.
y = -3

Simplifying
y = -3

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