.04(y-7)+0.12y=0.14y-0.4

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Solution for .04(y-7)+0.12y=0.14y-0.4 equation: 


Simplifying
0.04(y + -7) + 0.12y = 0.14y + -0.4

Reorder the terms:
0.04(-7 + y) + 0.12y = 0.14y + -0.4
(-7 * 0.04 + y * 0.04) + 0.12y = 0.14y + -0.4
(-0.28 + 0.04y) + 0.12y = 0.14y + -0.4

Combine like terms: 0.04y + 0.12y = 0.16y
-0.28 + 0.16y = 0.14y + -0.4

Reorder the terms:
-0.28 + 0.16y = -0.4 + 0.14y

Solving
-0.28 + 0.16y = -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.
-0.28 + 0.16y + -0.14y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.16y + -0.14y = 0.02y
-0.28 + 0.02y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.28 + 0.02y = -0.4 + 0.00
-0.28 + 0.02y = -0.4

Add '0.28' to each side of the equation.
-0.28 + 0.28 + 0.02y = -0.4 + 0.28

Combine like terms: -0.28 + 0.28 = 0.00
0.00 + 0.02y = -0.4 + 0.28
0.02y = -0.4 + 0.28

Combine like terms: -0.4 + 0.28 = -0.12
0.02y = -0.12

Divide each side by '0.02'.
y = -6

Simplifying
y = -6

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