0.20(y-5)+0.02y=0.12y-0.03(10)

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Solution for 0.20(y-5)+0.02y=0.12y-0.03(10) equation:


Simplifying
0.20(y + -5) + 0.02y = 0.12y + -0.03(10)

Reorder the terms:
0.20(-5 + y) + 0.02y = 0.12y + -0.03(10)
(-5 * 0.20 + y * 0.20) + 0.02y = 0.12y + -0.03(10)
(-1 + 0.20y) + 0.02y = 0.12y + -0.03(10)

Combine like terms: 0.20y + 0.02y = 0.22y
-1 + 0.22y = 0.12y + -0.03(10)

Multiply -0.03 * 10
-1 + 0.22y = 0.12y + -0.3

Reorder the terms:
-1 + 0.22y = -0.3 + 0.12y

Solving
-1 + 0.22y = -0.3 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-1 + 0.22y + -0.12y = -0.3 + 0.12y + -0.12y

Combine like terms: 0.22y + -0.12y = 0.1y
-1 + 0.1y = -0.3 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-1 + 0.1y = -0.3 + 0.00
-1 + 0.1y = -0.3

Add '1' to each side of the equation.
-1 + 1 + 0.1y = -0.3 + 1

Combine like terms: -1 + 1 = 0
0 + 0.1y = -0.3 + 1
0.1y = -0.3 + 1

Combine like terms: -0.3 + 1 = 0.7
0.1y = 0.7

Divide each side by '0.1'.
y = 7

Simplifying
y = 7

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