.14(y-2)+.06y=.16y-.4

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Solution for .14(y-2)+.06y=.16y-.4 equation: 


Simplifying
0.14(y + -2) + 0.06y = 0.16y + -0.4

Reorder the terms:
0.14(-2 + y) + 0.06y = 0.16y + -0.4
(-2 * 0.14 + y * 0.14) + 0.06y = 0.16y + -0.4
(-0.28 + 0.14y) + 0.06y = 0.16y + -0.4

Combine like terms: 0.14y + 0.06y = 0.2y
-0.28 + 0.2y = 0.16y + -0.4

Reorder the terms:
-0.28 + 0.2y = -0.4 + 0.16y

Solving
-0.28 + 0.2y = -0.4 + 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.
-0.28 + 0.2y + -0.16y = -0.4 + 0.16y + -0.16y

Combine like terms: 0.2y + -0.16y = 0.04y
-0.28 + 0.04y = -0.4 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.28 + 0.04y = -0.4 + 0.00
-0.28 + 0.04y = -0.4

Add '0.28' to each side of the equation.
-0.28 + 0.28 + 0.04y = -0.4 + 0.28

Combine like terms: -0.28 + 0.28 = 0.00
0.00 + 0.04y = -0.4 + 0.28
0.04y = -0.4 + 0.28

Combine like terms: -0.4 + 0.28 = -0.12
0.04y = -0.12

Divide each side by '0.04'.
y = -3

Simplifying
y = -3

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