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

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


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

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

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

Combine like terms: 1 + -8 = -7
8 + 4y = -7 + -2y

Solving
8 + 4y = -7 + -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.
8 + 4y + 2y = -7 + -2y + 2y

Combine like terms: 4y + 2y = 6y
8 + 6y = -7 + -2y + 2y

Combine like terms: -2y + 2y = 0
8 + 6y = -7 + 0
8 + 6y = -7

Add '-8' to each side of the equation.
8 + -8 + 6y = -7 + -8

Combine like terms: 8 + -8 = 0
0 + 6y = -7 + -8
6y = -7 + -8

Combine like terms: -7 + -8 = -15
6y = -15

Divide each side by '6'.
y = -2.5

Simplifying
y = -2.5

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