0.20(y-5)+0.05y=0.15y-0.05(80)

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Solution for 0.20(y-5)+0.05y=0.15y-0.05(80) equation: 


Simplifying
0.20(y + -5) + 0.05y = 0.15y + -0.05(80)

Reorder the terms:
0.20(-5 + y) + 0.05y = 0.15y + -0.05(80)
(-5 * 0.20 + y * 0.20) + 0.05y = 0.15y + -0.05(80)
(-1 + 0.20y) + 0.05y = 0.15y + -0.05(80)

Combine like terms: 0.20y + 0.05y = 0.25y
-1 + 0.25y = 0.15y + -0.05(80)

Multiply -0.05 * 80
-1 + 0.25y = 0.15y + -4

Reorder the terms:
-1 + 0.25y = -4 + 0.15y

Solving
-1 + 0.25y = -4 + 0.15y

Solving for variable 'y'.

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

Add '-0.15y' to each side of the equation.
-1 + 0.25y + -0.15y = -4 + 0.15y + -0.15y

Combine like terms: 0.25y + -0.15y = 0.1y
-1 + 0.1y = -4 + 0.15y + -0.15y

Combine like terms: 0.15y + -0.15y = 0.00
-1 + 0.1y = -4 + 0.00
-1 + 0.1y = -4

Add '1' to each side of the equation.
-1 + 1 + 0.1y = -4 + 1

Combine like terms: -1 + 1 = 0
0 + 0.1y = -4 + 1
0.1y = -4 + 1

Combine like terms: -4 + 1 = -3
0.1y = -3

Divide each side by '0.1'.
y = -30

Simplifying
y = -30

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