.20(y-9)+.06y=.16y-2.7

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Solution for .20(y-9)+.06y=.16y-2.7 equation:


Simplifying
0.20(y + -9) + 0.06y = 0.16y + -2.7

Reorder the terms:
0.20(-9 + y) + 0.06y = 0.16y + -2.7
(-9 * 0.20 + y * 0.20) + 0.06y = 0.16y + -2.7
(-1.8 + 0.20y) + 0.06y = 0.16y + -2.7

Combine like terms: 0.20y + 0.06y = 0.26y
-1.8 + 0.26y = 0.16y + -2.7

Reorder the terms:
-1.8 + 0.26y = -2.7 + 0.16y

Solving
-1.8 + 0.26y = -2.7 + 0.16y

Solving for variable 'y'.

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

Add '-0.16y' to each side of the equation.
-1.8 + 0.26y + -0.16y = -2.7 + 0.16y + -0.16y

Combine like terms: 0.26y + -0.16y = 0.1y
-1.8 + 0.1y = -2.7 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-1.8 + 0.1y = -2.7 + 0.00
-1.8 + 0.1y = -2.7

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.1y = -2.7 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.1y = -2.7 + 1.8
0.1y = -2.7 + 1.8

Combine like terms: -2.7 + 1.8 = -0.9
0.1y = -0.9

Divide each side by '0.1'.
y = -9

Simplifying
y = -9

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