0.20(y-7)+0.04y=0.18y-0.05(40)

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Solution for 0.20(y-7)+0.04y=0.18y-0.05(40) equation: 


Simplifying
0.20(y + -7) + 0.04y = 0.18y + -0.05(40)

Reorder the terms:
0.20(-7 + y) + 0.04y = 0.18y + -0.05(40)
(-7 * 0.20 + y * 0.20) + 0.04y = 0.18y + -0.05(40)
(-1.4 + 0.20y) + 0.04y = 0.18y + -0.05(40)

Combine like terms: 0.20y + 0.04y = 0.24y
-1.4 + 0.24y = 0.18y + -0.05(40)

Multiply -0.05 * 40
-1.4 + 0.24y = 0.18y + -2

Reorder the terms:
-1.4 + 0.24y = -2 + 0.18y

Solving
-1.4 + 0.24y = -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.
-1.4 + 0.24y + -0.18y = -2 + 0.18y + -0.18y

Combine like terms: 0.24y + -0.18y = 0.06y
-1.4 + 0.06y = -2 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-1.4 + 0.06y = -2 + 0.00
-1.4 + 0.06y = -2

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 0.06y = -2 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 0.06y = -2 + 1.4
0.06y = -2 + 1.4

Combine like terms: -2 + 1.4 = -0.6
0.06y = -0.6

Divide each side by '0.06'.
y = -10

Simplifying
y = -10

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