0.18(y-1)+0.20y=0.02y-0.09(40)

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Solution for 0.18(y-1)+0.20y=0.02y-0.09(40) equation:


Simplifying
0.18(y + -1) + 0.20y = 0.02y + -0.09(40)

Reorder the terms:
0.18(-1 + y) + 0.20y = 0.02y + -0.09(40)
(-1 * 0.18 + y * 0.18) + 0.20y = 0.02y + -0.09(40)
(-0.18 + 0.18y) + 0.20y = 0.02y + -0.09(40)

Combine like terms: 0.18y + 0.20y = 0.38y
-0.18 + 0.38y = 0.02y + -0.09(40)

Multiply -0.09 * 40
-0.18 + 0.38y = 0.02y + -3.6

Reorder the terms:
-0.18 + 0.38y = -3.6 + 0.02y

Solving
-0.18 + 0.38y = -3.6 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.18 + 0.38y + -0.02y = -3.6 + 0.02y + -0.02y

Combine like terms: 0.38y + -0.02y = 0.36y
-0.18 + 0.36y = -3.6 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.18 + 0.36y = -3.6 + 0.00
-0.18 + 0.36y = -3.6

Add '0.18' to each side of the equation.
-0.18 + 0.18 + 0.36y = -3.6 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + 0.36y = -3.6 + 0.18
0.36y = -3.6 + 0.18

Combine like terms: -3.6 + 0.18 = -3.42
0.36y = -3.42

Divide each side by '0.36'.
y = -9.5

Simplifying
y = -9.5

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