0.04(y-3)+0.08y=0.20y-0.09(10)

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Solution for 0.04(y-3)+0.08y=0.20y-0.09(10) equation:


Simplifying
0.04(y + -3) + 0.08y = 0.20y + -0.09(10)

Reorder the terms:
0.04(-3 + y) + 0.08y = 0.20y + -0.09(10)
(-3 * 0.04 + y * 0.04) + 0.08y = 0.20y + -0.09(10)
(-0.12 + 0.04y) + 0.08y = 0.20y + -0.09(10)

Combine like terms: 0.04y + 0.08y = 0.12y
-0.12 + 0.12y = 0.20y + -0.09(10)

Multiply -0.09 * 10
-0.12 + 0.12y = 0.20y + -0.9

Reorder the terms:
-0.12 + 0.12y = -0.9 + 0.20y

Solving
-0.12 + 0.12y = -0.9 + 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.
-0.12 + 0.12y + -0.20y = -0.9 + 0.20y + -0.20y

Combine like terms: 0.12y + -0.20y = -0.08y
-0.12 + -0.08y = -0.9 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.12 + -0.08y = -0.9 + 0.00
-0.12 + -0.08y = -0.9

Add '0.12' to each side of the equation.
-0.12 + 0.12 + -0.08y = -0.9 + 0.12

Combine like terms: -0.12 + 0.12 = 0.00
0.00 + -0.08y = -0.9 + 0.12
-0.08y = -0.9 + 0.12

Combine like terms: -0.9 + 0.12 = -0.78
-0.08y = -0.78

Divide each side by '-0.08'.
y = 9.75

Simplifying
y = 9.75

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