.02(y-9)+.08y=.06y-.5

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Solution for .02(y-9)+.08y=.06y-.5 equation: 


Simplifying
0.02(y + -9) + 0.08y = 0.06y + -0.5

Reorder the terms:
0.02(-9 + y) + 0.08y = 0.06y + -0.5
(-9 * 0.02 + y * 0.02) + 0.08y = 0.06y + -0.5
(-0.18 + 0.02y) + 0.08y = 0.06y + -0.5

Combine like terms: 0.02y + 0.08y = 0.1y
-0.18 + 0.1y = 0.06y + -0.5

Reorder the terms:
-0.18 + 0.1y = -0.5 + 0.06y

Solving
-0.18 + 0.1y = -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.
-0.18 + 0.1y + -0.06y = -0.5 + 0.06y + -0.06y

Combine like terms: 0.1y + -0.06y = 0.04y
-0.18 + 0.04y = -0.5 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.18 + 0.04y = -0.5 + 0.00
-0.18 + 0.04y = -0.5

Add '0.18' to each side of the equation.
-0.18 + 0.18 + 0.04y = -0.5 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + 0.04y = -0.5 + 0.18
0.04y = -0.5 + 0.18

Combine like terms: -0.5 + 0.18 = -0.32
0.04y = -0.32

Divide each side by '0.04'.
y = -8

Simplifying
y = -8

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