0.06(y-1)+0.20y=0.10y-0.9

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Solution for 0.06(y-1)+0.20y=0.10y-0.9 equation: 


Simplifying
0.06(y + -1) + 0.20y = 0.10y + -0.9

Reorder the terms:
0.06(-1 + y) + 0.20y = 0.10y + -0.9
(-1 * 0.06 + y * 0.06) + 0.20y = 0.10y + -0.9
(-0.06 + 0.06y) + 0.20y = 0.10y + -0.9

Combine like terms: 0.06y + 0.20y = 0.26y
-0.06 + 0.26y = 0.10y + -0.9

Reorder the terms:
-0.06 + 0.26y = -0.9 + 0.10y

Solving
-0.06 + 0.26y = -0.9 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-0.06 + 0.26y + -0.10y = -0.9 + 0.10y + -0.10y

Combine like terms: 0.26y + -0.10y = 0.16y
-0.06 + 0.16y = -0.9 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.06 + 0.16y = -0.9 + 0.00
-0.06 + 0.16y = -0.9

Add '0.06' to each side of the equation.
-0.06 + 0.06 + 0.16y = -0.9 + 0.06

Combine like terms: -0.06 + 0.06 = 0.00
0.00 + 0.16y = -0.9 + 0.06
0.16y = -0.9 + 0.06

Combine like terms: -0.9 + 0.06 = -0.84
0.16y = -0.84

Divide each side by '0.16'.
y = -5.25

Simplifying
y = -5.25

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