0.02(y-4)+0.10y=0.16y-0.3

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Solution for 0.02(y-4)+0.10y=0.16y-0.3 equation: 


Simplifying
0.02(y + -4) + 0.10y = 0.16y + -0.3

Reorder the terms:
0.02(-4 + y) + 0.10y = 0.16y + -0.3
(-4 * 0.02 + y * 0.02) + 0.10y = 0.16y + -0.3
(-0.08 + 0.02y) + 0.10y = 0.16y + -0.3

Combine like terms: 0.02y + 0.10y = 0.12y
-0.08 + 0.12y = 0.16y + -0.3

Reorder the terms:
-0.08 + 0.12y = -0.3 + 0.16y

Solving
-0.08 + 0.12y = -0.3 + 0.16y

Solving for variable 'y'.

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

Add '-0.16y' to each side of the equation.
-0.08 + 0.12y + -0.16y = -0.3 + 0.16y + -0.16y

Combine like terms: 0.12y + -0.16y = -0.04y
-0.08 + -0.04y = -0.3 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.08 + -0.04y = -0.3 + 0.00
-0.08 + -0.04y = -0.3

Add '0.08' to each side of the equation.
-0.08 + 0.08 + -0.04y = -0.3 + 0.08

Combine like terms: -0.08 + 0.08 = 0.00
0.00 + -0.04y = -0.3 + 0.08
-0.04y = -0.3 + 0.08

Combine like terms: -0.3 + 0.08 = -0.22
-0.04y = -0.22

Divide each side by '-0.04'.
y = 5.5

Simplifying
y = 5.5

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