0.20(y-5)+0.07y=0.17y-0.05(40)

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Solution for 0.20(y-5)+0.07y=0.17y-0.05(40) equation: 


Simplifying
0.20(y + -5) + 0.07y = 0.17y + -0.05(40)

Reorder the terms:
0.20(-5 + y) + 0.07y = 0.17y + -0.05(40)
(-5 * 0.20 + y * 0.20) + 0.07y = 0.17y + -0.05(40)
(-1 + 0.20y) + 0.07y = 0.17y + -0.05(40)

Combine like terms: 0.20y + 0.07y = 0.27y
-1 + 0.27y = 0.17y + -0.05(40)

Multiply -0.05 * 40
-1 + 0.27y = 0.17y + -2

Reorder the terms:
-1 + 0.27y = -2 + 0.17y

Solving
-1 + 0.27y = -2 + 0.17y

Solving for variable 'y'.

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

Add '-0.17y' to each side of the equation.
-1 + 0.27y + -0.17y = -2 + 0.17y + -0.17y

Combine like terms: 0.27y + -0.17y = 0.1y
-1 + 0.1y = -2 + 0.17y + -0.17y

Combine like terms: 0.17y + -0.17y = 0.00
-1 + 0.1y = -2 + 0.00
-1 + 0.1y = -2

Add '1' to each side of the equation.
-1 + 1 + 0.1y = -2 + 1

Combine like terms: -1 + 1 = 0
0 + 0.1y = -2 + 1
0.1y = -2 + 1

Combine like terms: -2 + 1 = -1
0.1y = -1

Divide each side by '0.1'.
y = -10

Simplifying
y = -10

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