0.20(y-7)+0.10y=0.06y-3.5

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Solution for 0.20(y-7)+0.10y=0.06y-3.5 equation: 


Simplifying
0.20(y + -7) + 0.10y = 0.06y + -3.5

Reorder the terms:
0.20(-7 + y) + 0.10y = 0.06y + -3.5
(-7 * 0.20 + y * 0.20) + 0.10y = 0.06y + -3.5
(-1.4 + 0.20y) + 0.10y = 0.06y + -3.5

Combine like terms: 0.20y + 0.10y = 0.3y
-1.4 + 0.3y = 0.06y + -3.5

Reorder the terms:
-1.4 + 0.3y = -3.5 + 0.06y

Solving
-1.4 + 0.3y = -3.5 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-1.4 + 0.3y + -0.06y = -3.5 + 0.06y + -0.06y

Combine like terms: 0.3y + -0.06y = 0.24y
-1.4 + 0.24y = -3.5 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-1.4 + 0.24y = -3.5 + 0.00
-1.4 + 0.24y = -3.5

Add '1.4' to each side of the equation.
-1.4 + 1.4 + 0.24y = -3.5 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + 0.24y = -3.5 + 1.4
0.24y = -3.5 + 1.4

Combine like terms: -3.5 + 1.4 = -2.1
0.24y = -2.1

Divide each side by '0.24'.
y = -8.75

Simplifying
y = -8.75

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