.02(y-5)+.08y=.20y-.03(10)

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Solution for .02(y-5)+.08y=.20y-.03(10) equation:


Simplifying
0.02(y + -5) + 0.08y = 0.20y + -0.03(10)

Reorder the terms:
0.02(-5 + y) + 0.08y = 0.20y + -0.03(10)
(-5 * 0.02 + y * 0.02) + 0.08y = 0.20y + -0.03(10)
(-0.1 + 0.02y) + 0.08y = 0.20y + -0.03(10)

Combine like terms: 0.02y + 0.08y = 0.1y
-0.1 + 0.1y = 0.20y + -0.03(10)

Multiply -0.03 * 10
-0.1 + 0.1y = 0.20y + -0.3

Reorder the terms:
-0.1 + 0.1y = -0.3 + 0.20y

Solving
-0.1 + 0.1y = -0.3 + 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.
-0.1 + 0.1y + -0.20y = -0.3 + 0.20y + -0.20y

Combine like terms: 0.1y + -0.20y = -0.1y
-0.1 + -0.1y = -0.3 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.1 + -0.1y = -0.3 + 0.00
-0.1 + -0.1y = -0.3

Add '0.1' to each side of the equation.
-0.1 + 0.1 + -0.1y = -0.3 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0
0.0 + -0.1y = -0.3 + 0.1
-0.1y = -0.3 + 0.1

Combine like terms: -0.3 + 0.1 = -0.2
-0.1y = -0.2

Divide each side by '-0.1'.
y = 2

Simplifying
y = 2

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