.12(y-9)+.18y=.10y-0.1(50)

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Solution for .12(y-9)+.18y=.10y-0.1(50) equation:


Simplifying
0.12(y + -9) + 0.18y = 0.10y + -0.1(50)

Reorder the terms:
0.12(-9 + y) + 0.18y = 0.10y + -0.1(50)
(-9 * 0.12 + y * 0.12) + 0.18y = 0.10y + -0.1(50)
(-1.08 + 0.12y) + 0.18y = 0.10y + -0.1(50)

Combine like terms: 0.12y + 0.18y = 0.3y
-1.08 + 0.3y = 0.10y + -0.1(50)

Multiply -0.1 * 50
-1.08 + 0.3y = 0.10y + -5

Reorder the terms:
-1.08 + 0.3y = -5 + 0.10y

Solving
-1.08 + 0.3y = -5 + 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.
-1.08 + 0.3y + -0.10y = -5 + 0.10y + -0.10y

Combine like terms: 0.3y + -0.10y = 0.2y
-1.08 + 0.2y = -5 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-1.08 + 0.2y = -5 + 0.00
-1.08 + 0.2y = -5

Add '1.08' to each side of the equation.
-1.08 + 1.08 + 0.2y = -5 + 1.08

Combine like terms: -1.08 + 1.08 = 0.00
0.00 + 0.2y = -5 + 1.08
0.2y = -5 + 1.08

Combine like terms: -5 + 1.08 = -3.92
0.2y = -3.92

Divide each side by '0.2'.
y = -19.6

Simplifying
y = -19.6

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