.5[y-8]=-3.5y+8

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Solution for .5[y-8]=-3.5y+8 equation: 


Simplifying
0.5[y + -8] = -3.5y + 8

Reorder the terms:
0.5[-8 + y] = -3.5y + 8
[-8 * 0.5 + y * 0.5] = -3.5y + 8
[-4 + 0.5y] = -3.5y + 8

Reorder the terms:
-4 + 0.5y = 8 + -3.5y

Solving
-4 + 0.5y = 8 + -3.5y

Solving for variable 'y'.

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

Add '3.5y' to each side of the equation.
-4 + 0.5y + 3.5y = 8 + -3.5y + 3.5y

Combine like terms: 0.5y + 3.5y = 4y
-4 + 4y = 8 + -3.5y + 3.5y

Combine like terms: -3.5y + 3.5y = 0.0
-4 + 4y = 8 + 0.0
-4 + 4y = 8

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

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

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

Divide each side by '4'.
y = 3

Simplifying
y = 3

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