0.08(y-6)+0.20y=0.12y-0.07(20)

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Solution for 0.08(y-6)+0.20y=0.12y-0.07(20) equation:


Simplifying
0.08(y + -6) + 0.20y = 0.12y + -0.07(20)

Reorder the terms:
0.08(-6 + y) + 0.20y = 0.12y + -0.07(20)
(-6 * 0.08 + y * 0.08) + 0.20y = 0.12y + -0.07(20)
(-0.48 + 0.08y) + 0.20y = 0.12y + -0.07(20)

Combine like terms: 0.08y + 0.20y = 0.28y
-0.48 + 0.28y = 0.12y + -0.07(20)

Multiply -0.07 * 20
-0.48 + 0.28y = 0.12y + -1.4

Reorder the terms:
-0.48 + 0.28y = -1.4 + 0.12y

Solving
-0.48 + 0.28y = -1.4 + 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.
-0.48 + 0.28y + -0.12y = -1.4 + 0.12y + -0.12y

Combine like terms: 0.28y + -0.12y = 0.16y
-0.48 + 0.16y = -1.4 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.48 + 0.16y = -1.4 + 0.00
-0.48 + 0.16y = -1.4

Add '0.48' to each side of the equation.
-0.48 + 0.48 + 0.16y = -1.4 + 0.48

Combine like terms: -0.48 + 0.48 = 0.00
0.00 + 0.16y = -1.4 + 0.48
0.16y = -1.4 + 0.48

Combine like terms: -1.4 + 0.48 = -0.92
0.16y = -0.92

Divide each side by '0.16'.
y = -5.75

Simplifying
y = -5.75

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