0.04(y-7)+0.06y=0.20y-0.5

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Solution for 0.04(y-7)+0.06y=0.20y-0.5 equation: 


Simplifying
0.04(y + -7) + 0.06y = 0.20y + -0.5

Reorder the terms:
0.04(-7 + y) + 0.06y = 0.20y + -0.5
(-7 * 0.04 + y * 0.04) + 0.06y = 0.20y + -0.5
(-0.28 + 0.04y) + 0.06y = 0.20y + -0.5

Combine like terms: 0.04y + 0.06y = 0.1y
-0.28 + 0.1y = 0.20y + -0.5

Reorder the terms:
-0.28 + 0.1y = -0.5 + 0.20y

Solving
-0.28 + 0.1y = -0.5 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-0.28 + 0.1y + -0.20y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.1y + -0.20y = -0.1y
-0.28 + -0.1y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.28 + -0.1y = -0.5 + 0.00
-0.28 + -0.1y = -0.5

Add '0.28' to each side of the equation.
-0.28 + 0.28 + -0.1y = -0.5 + 0.28

Combine like terms: -0.28 + 0.28 = 0.00
0.00 + -0.1y = -0.5 + 0.28
-0.1y = -0.5 + 0.28

Combine like terms: -0.5 + 0.28 = -0.22
-0.1y = -0.22

Divide each side by '-0.1'.
y = 2.2

Simplifying
y = 2.2

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