.18(y-9)+.08y=.16y-.03(30)

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Solution for .18(y-9)+.08y=.16y-.03(30) equation: 


Simplifying
0.18(y + -9) + 0.08y = 0.16y + -0.03(30)

Reorder the terms:
0.18(-9 + y) + 0.08y = 0.16y + -0.03(30)
(-9 * 0.18 + y * 0.18) + 0.08y = 0.16y + -0.03(30)
(-1.62 + 0.18y) + 0.08y = 0.16y + -0.03(30)

Combine like terms: 0.18y + 0.08y = 0.26y
-1.62 + 0.26y = 0.16y + -0.03(30)

Multiply -0.03 * 30
-1.62 + 0.26y = 0.16y + -0.9

Reorder the terms:
-1.62 + 0.26y = -0.9 + 0.16y

Solving
-1.62 + 0.26y = -0.9 + 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.
-1.62 + 0.26y + -0.16y = -0.9 + 0.16y + -0.16y

Combine like terms: 0.26y + -0.16y = 0.1y
-1.62 + 0.1y = -0.9 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-1.62 + 0.1y = -0.9 + 0.00
-1.62 + 0.1y = -0.9

Add '1.62' to each side of the equation.
-1.62 + 1.62 + 0.1y = -0.9 + 1.62

Combine like terms: -1.62 + 1.62 = 0.00
0.00 + 0.1y = -0.9 + 1.62
0.1y = -0.9 + 1.62

Combine like terms: -0.9 + 1.62 = 0.72
0.1y = 0.72

Divide each side by '0.1'.
y = 7.2

Simplifying
y = 7.2

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