.12(y-8)+.18y=.10y-.05(20)

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Solution for .12(y-8)+.18y=.10y-.05(20) equation:


Simplifying
0.12(y + -8) + 0.18y = 0.10y + -0.05(20)

Reorder the terms:
0.12(-8 + y) + 0.18y = 0.10y + -0.05(20)
(-8 * 0.12 + y * 0.12) + 0.18y = 0.10y + -0.05(20)
(-0.96 + 0.12y) + 0.18y = 0.10y + -0.05(20)

Combine like terms: 0.12y + 0.18y = 0.3y
-0.96 + 0.3y = 0.10y + -0.05(20)

Multiply -0.05 * 20
-0.96 + 0.3y = 0.10y + -1

Reorder the terms:
-0.96 + 0.3y = -1 + 0.10y

Solving
-0.96 + 0.3y = -1 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-0.96 + 0.3y + -0.10y = -1 + 0.10y + -0.10y

Combine like terms: 0.3y + -0.10y = 0.2y
-0.96 + 0.2y = -1 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.96 + 0.2y = -1 + 0.00
-0.96 + 0.2y = -1

Add '0.96' to each side of the equation.
-0.96 + 0.96 + 0.2y = -1 + 0.96

Combine like terms: -0.96 + 0.96 = 0.00
0.00 + 0.2y = -1 + 0.96
0.2y = -1 + 0.96

Combine like terms: -1 + 0.96 = -0.04
0.2y = -0.04

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

Simplifying
y = -0.2

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