0.08(y-9)+0.02y=0.20y-0.03(40)

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Solution for 0.08(y-9)+0.02y=0.20y-0.03(40) equation:


Simplifying
0.08(y + -9) + 0.02y = 0.20y + -0.03(40)

Reorder the terms:
0.08(-9 + y) + 0.02y = 0.20y + -0.03(40)
(-9 * 0.08 + y * 0.08) + 0.02y = 0.20y + -0.03(40)
(-0.72 + 0.08y) + 0.02y = 0.20y + -0.03(40)

Combine like terms: 0.08y + 0.02y = 0.1y
-0.72 + 0.1y = 0.20y + -0.03(40)

Multiply -0.03 * 40
-0.72 + 0.1y = 0.20y + -1.2

Reorder the terms:
-0.72 + 0.1y = -1.2 + 0.20y

Solving
-0.72 + 0.1y = -1.2 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-0.72 + 0.1y + -0.20y = -1.2 + 0.20y + -0.20y

Combine like terms: 0.1y + -0.20y = -0.1y
-0.72 + -0.1y = -1.2 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.72 + -0.1y = -1.2 + 0.00
-0.72 + -0.1y = -1.2

Add '0.72' to each side of the equation.
-0.72 + 0.72 + -0.1y = -1.2 + 0.72

Combine like terms: -0.72 + 0.72 = 0.00
0.00 + -0.1y = -1.2 + 0.72
-0.1y = -1.2 + 0.72

Combine like terms: -1.2 + 0.72 = -0.48
-0.1y = -0.48

Divide each side by '-0.1'.
y = 4.8

Simplifying
y = 4.8

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