.18(y-6)+0.20y=.06y-3

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Solution for .18(y-6)+0.20y=.06y-3 equation: 


Simplifying
0.18(y + -6) + 0.20y = 0.06y + -3

Reorder the terms:
0.18(-6 + y) + 0.20y = 0.06y + -3
(-6 * 0.18 + y * 0.18) + 0.20y = 0.06y + -3
(-1.08 + 0.18y) + 0.20y = 0.06y + -3

Combine like terms: 0.18y + 0.20y = 0.38y
-1.08 + 0.38y = 0.06y + -3

Reorder the terms:
-1.08 + 0.38y = -3 + 0.06y

Solving
-1.08 + 0.38y = -3 + 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.
-1.08 + 0.38y + -0.06y = -3 + 0.06y + -0.06y

Combine like terms: 0.38y + -0.06y = 0.32y
-1.08 + 0.32y = -3 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-1.08 + 0.32y = -3 + 0.00
-1.08 + 0.32y = -3

Add '1.08' to each side of the equation.
-1.08 + 1.08 + 0.32y = -3 + 1.08

Combine like terms: -1.08 + 1.08 = 0.00
0.00 + 0.32y = -3 + 1.08
0.32y = -3 + 1.08

Combine like terms: -3 + 1.08 = -1.92
0.32y = -1.92

Divide each side by '0.32'.
y = -6

Simplifying
y = -6

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