0.06(y-3)+0.16y=0.20y-0.3

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Solution for 0.06(y-3)+0.16y=0.20y-0.3 equation: 


Simplifying
0.06(y + -3) + 0.16y = 0.20y + -0.3

Reorder the terms:
0.06(-3 + y) + 0.16y = 0.20y + -0.3
(-3 * 0.06 + y * 0.06) + 0.16y = 0.20y + -0.3
(-0.18 + 0.06y) + 0.16y = 0.20y + -0.3

Combine like terms: 0.06y + 0.16y = 0.22y
-0.18 + 0.22y = 0.20y + -0.3

Reorder the terms:
-0.18 + 0.22y = -0.3 + 0.20y

Solving
-0.18 + 0.22y = -0.3 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-0.18 + 0.22y + -0.20y = -0.3 + 0.20y + -0.20y

Combine like terms: 0.22y + -0.20y = 0.02y
-0.18 + 0.02y = -0.3 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.18 + 0.02y = -0.3 + 0.00
-0.18 + 0.02y = -0.3

Add '0.18' to each side of the equation.
-0.18 + 0.18 + 0.02y = -0.3 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + 0.02y = -0.3 + 0.18
0.02y = -0.3 + 0.18

Combine like terms: -0.3 + 0.18 = -0.12
0.02y = -0.12

Divide each side by '0.02'.
y = -6

Simplifying
y = -6

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