0.16(y-2)+0.06y=0.02y-0.05(20)

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Solution for 0.16(y-2)+0.06y=0.02y-0.05(20) equation:


Simplifying
0.16(y + -2) + 0.06y = 0.02y + -0.05(20)

Reorder the terms:
0.16(-2 + y) + 0.06y = 0.02y + -0.05(20)
(-2 * 0.16 + y * 0.16) + 0.06y = 0.02y + -0.05(20)
(-0.32 + 0.16y) + 0.06y = 0.02y + -0.05(20)

Combine like terms: 0.16y + 0.06y = 0.22y
-0.32 + 0.22y = 0.02y + -0.05(20)

Multiply -0.05 * 20
-0.32 + 0.22y = 0.02y + -1

Reorder the terms:
-0.32 + 0.22y = -1 + 0.02y

Solving
-0.32 + 0.22y = -1 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.32 + 0.22y + -0.02y = -1 + 0.02y + -0.02y

Combine like terms: 0.22y + -0.02y = 0.2y
-0.32 + 0.2y = -1 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.32 + 0.2y = -1 + 0.00
-0.32 + 0.2y = -1

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 0.2y = -1 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 0.2y = -1 + 0.32
0.2y = -1 + 0.32

Combine like terms: -1 + 0.32 = -0.68
0.2y = -0.68

Divide each side by '0.2'.
y = -3.4

Simplifying
y = -3.4

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