0.20(y-7)+0.12y=0.04y-2.8

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Solution for 0.20(y-7)+0.12y=0.04y-2.8 equation: 


Simplifying
0.20(y + -7) + 0.12y = 0.04y + -2.8

Reorder the terms:
0.20(-7 + y) + 0.12y = 0.04y + -2.8
(-7 * 0.20 + y * 0.20) + 0.12y = 0.04y + -2.8
(-1.4 + 0.20y) + 0.12y = 0.04y + -2.8

Combine like terms: 0.20y + 0.12y = 0.32y
-1.4 + 0.32y = 0.04y + -2.8

Reorder the terms:
-1.4 + 0.32y = -2.8 + 0.04y

Solving
-1.4 + 0.32y = -2.8 + 0.04y

Solving for variable 'y'.

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

Add '-0.04y' to each side of the equation.
-1.4 + 0.32y + -0.04y = -2.8 + 0.04y + -0.04y

Combine like terms: 0.32y + -0.04y = 0.28y
-1.4 + 0.28y = -2.8 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-1.4 + 0.28y = -2.8 + 0.00
-1.4 + 0.28y = -2.8

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 0.28y = -2.8 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 0.28y = -2.8 + 1.4
0.28y = -2.8 + 1.4

Combine like terms: -2.8 + 1.4 = -1.4
0.28y = -1.4

Divide each side by '0.28'.
y = -5

Simplifying
y = -5

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