.06(y-9)+.18y=.16y-.05(10)

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Solution for .06(y-9)+.18y=.16y-.05(10) equation:


Simplifying
0.06(y + -9) + 0.18y = 0.16y + -0.05(10)

Reorder the terms:
0.06(-9 + y) + 0.18y = 0.16y + -0.05(10)
(-9 * 0.06 + y * 0.06) + 0.18y = 0.16y + -0.05(10)
(-0.54 + 0.06y) + 0.18y = 0.16y + -0.05(10)

Combine like terms: 0.06y + 0.18y = 0.24y
-0.54 + 0.24y = 0.16y + -0.05(10)

Multiply -0.05 * 10
-0.54 + 0.24y = 0.16y + -0.5

Reorder the terms:
-0.54 + 0.24y = -0.5 + 0.16y

Solving
-0.54 + 0.24y = -0.5 + 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.
-0.54 + 0.24y + -0.16y = -0.5 + 0.16y + -0.16y

Combine like terms: 0.24y + -0.16y = 0.08y
-0.54 + 0.08y = -0.5 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.54 + 0.08y = -0.5 + 0.00
-0.54 + 0.08y = -0.5

Add '0.54' to each side of the equation.
-0.54 + 0.54 + 0.08y = -0.5 + 0.54

Combine like terms: -0.54 + 0.54 = 0.00
0.00 + 0.08y = -0.5 + 0.54
0.08y = -0.5 + 0.54

Combine like terms: -0.5 + 0.54 = 0.04
0.08y = 0.04

Divide each side by '0.08'.
y = 0.5

Simplifying
y = 0.5

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