.8-4(y-1)=.2+3(4-y)

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Solution for .8-4(y-1)=.2+3(4-y) equation: 


Simplifying
0.8 + -4(y + -1) = 0.2 + 3(4 + -1y)

Reorder the terms:
0.8 + -4(-1 + y) = 0.2 + 3(4 + -1y)
0.8 + (-1 * -4 + y * -4) = 0.2 + 3(4 + -1y)
0.8 + (4 + -4y) = 0.2 + 3(4 + -1y)

Combine like terms: 0.8 + 4 = 4.8
4.8 + -4y = 0.2 + 3(4 + -1y)
4.8 + -4y = 0.2 + (4 * 3 + -1y * 3)
4.8 + -4y = 0.2 + (12 + -3y)

Combine like terms: 0.2 + 12 = 12.2
4.8 + -4y = 12.2 + -3y

Solving
4.8 + -4y = 12.2 + -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.
4.8 + -4y + 3y = 12.2 + -3y + 3y

Combine like terms: -4y + 3y = -1y
4.8 + -1y = 12.2 + -3y + 3y

Combine like terms: -3y + 3y = 0
4.8 + -1y = 12.2 + 0
4.8 + -1y = 12.2

Add '-4.8' to each side of the equation.
4.8 + -4.8 + -1y = 12.2 + -4.8

Combine like terms: 4.8 + -4.8 = 0.0
0.0 + -1y = 12.2 + -4.8
-1y = 12.2 + -4.8

Combine like terms: 12.2 + -4.8 = 7.4
-1y = 7.4

Divide each side by '-1'.
y = -7.4

Simplifying
y = -7.4

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