.04(y-6)+.14y=.02y-1.8

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Solution for .04(y-6)+.14y=.02y-1.8 equation: 


Simplifying
0.04(y + -6) + 0.14y = 0.02y + -1.8

Reorder the terms:
0.04(-6 + y) + 0.14y = 0.02y + -1.8
(-6 * 0.04 + y * 0.04) + 0.14y = 0.02y + -1.8
(-0.24 + 0.04y) + 0.14y = 0.02y + -1.8

Combine like terms: 0.04y + 0.14y = 0.18y
-0.24 + 0.18y = 0.02y + -1.8

Reorder the terms:
-0.24 + 0.18y = -1.8 + 0.02y

Solving
-0.24 + 0.18y = -1.8 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.24 + 0.18y + -0.02y = -1.8 + 0.02y + -0.02y

Combine like terms: 0.18y + -0.02y = 0.16y
-0.24 + 0.16y = -1.8 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.24 + 0.16y = -1.8 + 0.00
-0.24 + 0.16y = -1.8

Add '0.24' to each side of the equation.
-0.24 + 0.24 + 0.16y = -1.8 + 0.24

Combine like terms: -0.24 + 0.24 = 0.00
0.00 + 0.16y = -1.8 + 0.24
0.16y = -1.8 + 0.24

Combine like terms: -1.8 + 0.24 = -1.56
0.16y = -1.56

Divide each side by '0.16'.
y = -9.75

Simplifying
y = -9.75

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