0.08(y-9)+0.10y=0.16y-0.03(30)

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Solution for 0.08(y-9)+0.10y=0.16y-0.03(30) equation: 


Simplifying
0.08(y + -9) + 0.10y = 0.16y + -0.03(30)

Reorder the terms:
0.08(-9 + y) + 0.10y = 0.16y + -0.03(30)
(-9 * 0.08 + y * 0.08) + 0.10y = 0.16y + -0.03(30)
(-0.72 + 0.08y) + 0.10y = 0.16y + -0.03(30)

Combine like terms: 0.08y + 0.10y = 0.18y
-0.72 + 0.18y = 0.16y + -0.03(30)

Multiply -0.03 * 30
-0.72 + 0.18y = 0.16y + -0.9

Reorder the terms:
-0.72 + 0.18y = -0.9 + 0.16y

Solving
-0.72 + 0.18y = -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.
-0.72 + 0.18y + -0.16y = -0.9 + 0.16y + -0.16y

Combine like terms: 0.18y + -0.16y = 0.02y
-0.72 + 0.02y = -0.9 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.72 + 0.02y = -0.9 + 0.00
-0.72 + 0.02y = -0.9

Add '0.72' to each side of the equation.
-0.72 + 0.72 + 0.02y = -0.9 + 0.72

Combine like terms: -0.72 + 0.72 = 0.00
0.00 + 0.02y = -0.9 + 0.72
0.02y = -0.9 + 0.72

Combine like terms: -0.9 + 0.72 = -0.18
0.02y = -0.18

Divide each side by '0.02'.
y = -9

Simplifying
y = -9

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