0.20(y-8)+0.04y=0.12y-0.05(50)

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Solution for 0.20(y-8)+0.04y=0.12y-0.05(50) equation: 


Simplifying
0.20(y + -8) + 0.04y = 0.12y + -0.05(50)

Reorder the terms:
0.20(-8 + y) + 0.04y = 0.12y + -0.05(50)
(-8 * 0.20 + y * 0.20) + 0.04y = 0.12y + -0.05(50)
(-1.6 + 0.20y) + 0.04y = 0.12y + -0.05(50)

Combine like terms: 0.20y + 0.04y = 0.24y
-1.6 + 0.24y = 0.12y + -0.05(50)

Multiply -0.05 * 50
-1.6 + 0.24y = 0.12y + -2.5

Reorder the terms:
-1.6 + 0.24y = -2.5 + 0.12y

Solving
-1.6 + 0.24y = -2.5 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-1.6 + 0.24y + -0.12y = -2.5 + 0.12y + -0.12y

Combine like terms: 0.24y + -0.12y = 0.12y
-1.6 + 0.12y = -2.5 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-1.6 + 0.12y = -2.5 + 0.00
-1.6 + 0.12y = -2.5

Add '1.6' to each side of the equation.
-1.6 + 1.6 + 0.12y = -2.5 + 1.6

Combine like terms: -1.6 + 1.6 = 0.0
0.0 + 0.12y = -2.5 + 1.6
0.12y = -2.5 + 1.6

Combine like terms: -2.5 + 1.6 = -0.9
0.12y = -0.9

Divide each side by '0.12'.
y = -7.5

Simplifying
y = -7.5

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