0.06(y-6)+0.16y=0.18y-0.4

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Solution for 0.06(y-6)+0.16y=0.18y-0.4 equation: 


Simplifying
0.06(y + -6) + 0.16y = 0.18y + -0.4

Reorder the terms:
0.06(-6 + y) + 0.16y = 0.18y + -0.4
(-6 * 0.06 + y * 0.06) + 0.16y = 0.18y + -0.4
(-0.36 + 0.06y) + 0.16y = 0.18y + -0.4

Combine like terms: 0.06y + 0.16y = 0.22y
-0.36 + 0.22y = 0.18y + -0.4

Reorder the terms:
-0.36 + 0.22y = -0.4 + 0.18y

Solving
-0.36 + 0.22y = -0.4 + 0.18y

Solving for variable 'y'.

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

Add '-0.18y' to each side of the equation.
-0.36 + 0.22y + -0.18y = -0.4 + 0.18y + -0.18y

Combine like terms: 0.22y + -0.18y = 0.04y
-0.36 + 0.04y = -0.4 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.36 + 0.04y = -0.4 + 0.00
-0.36 + 0.04y = -0.4

Add '0.36' to each side of the equation.
-0.36 + 0.36 + 0.04y = -0.4 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + 0.04y = -0.4 + 0.36
0.04y = -0.4 + 0.36

Combine like terms: -0.4 + 0.36 = -0.04
0.04y = -0.04

Divide each side by '0.04'.
y = -1

Simplifying
y = -1

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