.16(y-2)+.20y=.06y-.05(10)

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Solution for .16(y-2)+.20y=.06y-.05(10) equation:


Simplifying
0.16(y + -2) + 0.20y = 0.06y + -0.05(10)

Reorder the terms:
0.16(-2 + y) + 0.20y = 0.06y + -0.05(10)
(-2 * 0.16 + y * 0.16) + 0.20y = 0.06y + -0.05(10)
(-0.32 + 0.16y) + 0.20y = 0.06y + -0.05(10)

Combine like terms: 0.16y + 0.20y = 0.36y
-0.32 + 0.36y = 0.06y + -0.05(10)

Multiply -0.05 * 10
-0.32 + 0.36y = 0.06y + -0.5

Reorder the terms:
-0.32 + 0.36y = -0.5 + 0.06y

Solving
-0.32 + 0.36y = -0.5 + 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.
-0.32 + 0.36y + -0.06y = -0.5 + 0.06y + -0.06y

Combine like terms: 0.36y + -0.06y = 0.3y
-0.32 + 0.3y = -0.5 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.32 + 0.3y = -0.5 + 0.00
-0.32 + 0.3y = -0.5

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 0.3y = -0.5 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 0.3y = -0.5 + 0.32
0.3y = -0.5 + 0.32

Combine like terms: -0.5 + 0.32 = -0.18
0.3y = -0.18

Divide each side by '0.3'.
y = -0.6

Simplifying
y = -0.6

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