0.04(y-4)+0.18y=0.02y-0.05(10)

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Solution for 0.04(y-4)+0.18y=0.02y-0.05(10) equation:


Simplifying
0.04(y + -4) + 0.18y = 0.02y + -0.05(10)

Reorder the terms:
0.04(-4 + y) + 0.18y = 0.02y + -0.05(10)
(-4 * 0.04 + y * 0.04) + 0.18y = 0.02y + -0.05(10)
(-0.16 + 0.04y) + 0.18y = 0.02y + -0.05(10)

Combine like terms: 0.04y + 0.18y = 0.22y
-0.16 + 0.22y = 0.02y + -0.05(10)

Multiply -0.05 * 10
-0.16 + 0.22y = 0.02y + -0.5

Reorder the terms:
-0.16 + 0.22y = -0.5 + 0.02y

Solving
-0.16 + 0.22y = -0.5 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.16 + 0.22y + -0.02y = -0.5 + 0.02y + -0.02y

Combine like terms: 0.22y + -0.02y = 0.2y
-0.16 + 0.2y = -0.5 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.16 + 0.2y = -0.5 + 0.00
-0.16 + 0.2y = -0.5

Add '0.16' to each side of the equation.
-0.16 + 0.16 + 0.2y = -0.5 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.2y = -0.5 + 0.16
0.2y = -0.5 + 0.16

Combine like terms: -0.5 + 0.16 = -0.34
0.2y = -0.34

Divide each side by '0.2'.
y = -1.7

Simplifying
y = -1.7

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