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

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Solution for 0.08(y-7)+0.04=0.20y-0.5 equation: 


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

Reorder the terms:
0.08(-7 + y) + 0.04 = 0.20y + -0.5
(-7 * 0.08 + y * 0.08) + 0.04 = 0.20y + -0.5
(-0.56 + 0.08y) + 0.04 = 0.20y + -0.5

Reorder the terms:
-0.56 + 0.04 + 0.08y = 0.20y + -0.5

Combine like terms: -0.56 + 0.04 = -0.52
-0.52 + 0.08y = 0.20y + -0.5

Reorder the terms:
-0.52 + 0.08y = -0.5 + 0.20y

Solving
-0.52 + 0.08y = -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.
-0.52 + 0.08y + -0.20y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.08y + -0.20y = -0.12y
-0.52 + -0.12y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.52 + -0.12y = -0.5 + 0.00
-0.52 + -0.12y = -0.5

Add '0.52' to each side of the equation.
-0.52 + 0.52 + -0.12y = -0.5 + 0.52

Combine like terms: -0.52 + 0.52 = 0.00
0.00 + -0.12y = -0.5 + 0.52
-0.12y = -0.5 + 0.52

Combine like terms: -0.5 + 0.52 = 0.02
-0.12y = 0.02

Divide each side by '-0.12'.
y = -0.1666666667

Simplifying
y = -0.1666666667

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