.25(y-4)+0.03y=.18y-0.05(40)

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Solution for .25(y-4)+0.03y=.18y-0.05(40) equation: 


Simplifying
0.25(y + -4) + 0.03y = 0.18y + -0.05(40)

Reorder the terms:
0.25(-4 + y) + 0.03y = 0.18y + -0.05(40)
(-4 * 0.25 + y * 0.25) + 0.03y = 0.18y + -0.05(40)
(-1 + 0.25y) + 0.03y = 0.18y + -0.05(40)

Combine like terms: 0.25y + 0.03y = 0.28y
-1 + 0.28y = 0.18y + -0.05(40)

Multiply -0.05 * 40
-1 + 0.28y = 0.18y + -2

Reorder the terms:
-1 + 0.28y = -2 + 0.18y

Solving
-1 + 0.28y = -2 + 0.18y

Solving for variable 'y'.

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

Add '-0.18y' to each side of the equation.
-1 + 0.28y + -0.18y = -2 + 0.18y + -0.18y

Combine like terms: 0.28y + -0.18y = 0.1y
-1 + 0.1y = -2 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 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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