0.06(y-7)+0.04y=0.14y-0.4

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Solution for 0.06(y-7)+0.04y=0.14y-0.4 equation: 


Simplifying
0.06(y + -7) + 0.04y = 0.14y + -0.4

Reorder the terms:
0.06(-7 + y) + 0.04y = 0.14y + -0.4
(-7 * 0.06 + y * 0.06) + 0.04y = 0.14y + -0.4
(-0.42 + 0.06y) + 0.04y = 0.14y + -0.4

Combine like terms: 0.06y + 0.04y = 0.1y
-0.42 + 0.1y = 0.14y + -0.4

Reorder the terms:
-0.42 + 0.1y = -0.4 + 0.14y

Solving
-0.42 + 0.1y = -0.4 + 0.14y

Solving for variable 'y'.

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

Add '-0.14y' to each side of the equation.
-0.42 + 0.1y + -0.14y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.1y + -0.14y = -0.04y
-0.42 + -0.04y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.42 + -0.04y = -0.4 + 0.00
-0.42 + -0.04y = -0.4

Add '0.42' to each side of the equation.
-0.42 + 0.42 + -0.04y = -0.4 + 0.42

Combine like terms: -0.42 + 0.42 = 0.00
0.00 + -0.04y = -0.4 + 0.42
-0.04y = -0.4 + 0.42

Combine like terms: -0.4 + 0.42 = 0.02
-0.04y = 0.02

Divide each side by '-0.04'.
y = -0.5

Simplifying
y = -0.5

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