0.06(y-7)+0.16y=0.18y-0.1

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Solution for 0.06(y-7)+0.16y=0.18y-0.1 equation: 


Simplifying
0.06(y + -7) + 0.16y = 0.18y + -0.1

Reorder the terms:
0.06(-7 + y) + 0.16y = 0.18y + -0.1
(-7 * 0.06 + y * 0.06) + 0.16y = 0.18y + -0.1
(-0.42 + 0.06y) + 0.16y = 0.18y + -0.1

Combine like terms: 0.06y + 0.16y = 0.22y
-0.42 + 0.22y = 0.18y + -0.1

Reorder the terms:
-0.42 + 0.22y = -0.1 + 0.18y

Solving
-0.42 + 0.22y = -0.1 + 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.
-0.42 + 0.22y + -0.18y = -0.1 + 0.18y + -0.18y

Combine like terms: 0.22y + -0.18y = 0.04y
-0.42 + 0.04y = -0.1 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.42 + 0.04y = -0.1 + 0.00
-0.42 + 0.04y = -0.1

Add '0.42' to each side of the equation.
-0.42 + 0.42 + 0.04y = -0.1 + 0.42

Combine like terms: -0.42 + 0.42 = 0.00
0.00 + 0.04y = -0.1 + 0.42
0.04y = -0.1 + 0.42

Combine like terms: -0.1 + 0.42 = 0.32
0.04y = 0.32

Divide each side by '0.04'.
y = 8

Simplifying
y = 8

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