0.16(y-9)+0.12y=0.06y-0.05(20)

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Solution for 0.16(y-9)+0.12y=0.06y-0.05(20) equation:


Simplifying
0.16(y + -9) + 0.12y = 0.06y + -0.05(20)

Reorder the terms:
0.16(-9 + y) + 0.12y = 0.06y + -0.05(20)
(-9 * 0.16 + y * 0.16) + 0.12y = 0.06y + -0.05(20)
(-1.44 + 0.16y) + 0.12y = 0.06y + -0.05(20)

Combine like terms: 0.16y + 0.12y = 0.28y
-1.44 + 0.28y = 0.06y + -0.05(20)

Multiply -0.05 * 20
-1.44 + 0.28y = 0.06y + -1

Reorder the terms:
-1.44 + 0.28y = -1 + 0.06y

Solving
-1.44 + 0.28y = -1 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-1.44 + 0.28y + -0.06y = -1 + 0.06y + -0.06y

Combine like terms: 0.28y + -0.06y = 0.22y
-1.44 + 0.22y = -1 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-1.44 + 0.22y = -1 + 0.00
-1.44 + 0.22y = -1

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.22y = -1 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.22y = -1 + 1.44
0.22y = -1 + 1.44

Combine like terms: -1 + 1.44 = 0.44
0.22y = 0.44

Divide each side by '0.22'.
y = 2

Simplifying
y = 2

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