.16(y-8)+.06y=.02y-1.8

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Solution for .16(y-8)+.06y=.02y-1.8 equation: 


Simplifying
0.16(y + -8) + 0.06y = 0.02y + -1.8

Reorder the terms:
0.16(-8 + y) + 0.06y = 0.02y + -1.8
(-8 * 0.16 + y * 0.16) + 0.06y = 0.02y + -1.8
(-1.28 + 0.16y) + 0.06y = 0.02y + -1.8

Combine like terms: 0.16y + 0.06y = 0.22y
-1.28 + 0.22y = 0.02y + -1.8

Reorder the terms:
-1.28 + 0.22y = -1.8 + 0.02y

Solving
-1.28 + 0.22y = -1.8 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-1.28 + 0.22y + -0.02y = -1.8 + 0.02y + -0.02y

Combine like terms: 0.22y + -0.02y = 0.2y
-1.28 + 0.2y = -1.8 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-1.28 + 0.2y = -1.8 + 0.00
-1.28 + 0.2y = -1.8

Add '1.28' to each side of the equation.
-1.28 + 1.28 + 0.2y = -1.8 + 1.28

Combine like terms: -1.28 + 1.28 = 0.00
0.00 + 0.2y = -1.8 + 1.28
0.2y = -1.8 + 1.28

Combine like terms: -1.8 + 1.28 = -0.52
0.2y = -0.52

Divide each side by '0.2'.
y = -2.6

Simplifying
y = -2.6

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