0.16(y-5)+0.12y=0.18y-0.3

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Solution for 0.16(y-5)+0.12y=0.18y-0.3 equation: 


Simplifying
0.16(y + -5) + 0.12y = 0.18y + -0.3

Reorder the terms:
0.16(-5 + y) + 0.12y = 0.18y + -0.3
(-5 * 0.16 + y * 0.16) + 0.12y = 0.18y + -0.3
(-0.8 + 0.16y) + 0.12y = 0.18y + -0.3

Combine like terms: 0.16y + 0.12y = 0.28y
-0.8 + 0.28y = 0.18y + -0.3

Reorder the terms:
-0.8 + 0.28y = -0.3 + 0.18y

Solving
-0.8 + 0.28y = -0.3 + 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.
-0.8 + 0.28y + -0.18y = -0.3 + 0.18y + -0.18y

Combine like terms: 0.28y + -0.18y = 0.1y
-0.8 + 0.1y = -0.3 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.8 + 0.1y = -0.3 + 0.00
-0.8 + 0.1y = -0.3

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.1y = -0.3 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.1y = -0.3 + 0.8
0.1y = -0.3 + 0.8

Combine like terms: -0.3 + 0.8 = 0.5
0.1y = 0.5

Divide each side by '0.1'.
y = 5

Simplifying
y = 5

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