0.08(y-3)+0.10y=0.20y-0.01(40)

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Solution for 0.08(y-3)+0.10y=0.20y-0.01(40) equation:


Simplifying
0.08(y + -3) + 0.10y = 0.20y + -0.01(40)

Reorder the terms:
0.08(-3 + y) + 0.10y = 0.20y + -0.01(40)
(-3 * 0.08 + y * 0.08) + 0.10y = 0.20y + -0.01(40)
(-0.24 + 0.08y) + 0.10y = 0.20y + -0.01(40)

Combine like terms: 0.08y + 0.10y = 0.18y
-0.24 + 0.18y = 0.20y + -0.01(40)

Multiply -0.01 * 40
-0.24 + 0.18y = 0.20y + -0.4

Reorder the terms:
-0.24 + 0.18y = -0.4 + 0.20y

Solving
-0.24 + 0.18y = -0.4 + 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.
-0.24 + 0.18y + -0.20y = -0.4 + 0.20y + -0.20y

Combine like terms: 0.18y + -0.20y = -0.02y
-0.24 + -0.02y = -0.4 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.24 + -0.02y = -0.4 + 0.00
-0.24 + -0.02y = -0.4

Add '0.24' to each side of the equation.
-0.24 + 0.24 + -0.02y = -0.4 + 0.24

Combine like terms: -0.24 + 0.24 = 0.00
0.00 + -0.02y = -0.4 + 0.24
-0.02y = -0.4 + 0.24

Combine like terms: -0.4 + 0.24 = -0.16
-0.02y = -0.16

Divide each side by '-0.02'.
y = 8

Simplifying
y = 8

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