0.16(y-3)+0.02=0.10y-0.01(30)

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Solution for 0.16(y-3)+0.02=0.10y-0.01(30) equation: 


Simplifying
0.16(y + -3) + 0.02 = 0.10y + -0.01(30)

Reorder the terms:
0.16(-3 + y) + 0.02 = 0.10y + -0.01(30)
(-3 * 0.16 + y * 0.16) + 0.02 = 0.10y + -0.01(30)
(-0.48 + 0.16y) + 0.02 = 0.10y + -0.01(30)

Reorder the terms:
-0.48 + 0.02 + 0.16y = 0.10y + -0.01(30)

Combine like terms: -0.48 + 0.02 = -0.46
-0.46 + 0.16y = 0.10y + -0.01(30)

Multiply -0.01 * 30
-0.46 + 0.16y = 0.10y + -0.3

Reorder the terms:
-0.46 + 0.16y = -0.3 + 0.10y

Solving
-0.46 + 0.16y = -0.3 + 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.
-0.46 + 0.16y + -0.10y = -0.3 + 0.10y + -0.10y

Combine like terms: 0.16y + -0.10y = 0.06y
-0.46 + 0.06y = -0.3 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.46 + 0.06y = -0.3 + 0.00
-0.46 + 0.06y = -0.3

Add '0.46' to each side of the equation.
-0.46 + 0.46 + 0.06y = -0.3 + 0.46

Combine like terms: -0.46 + 0.46 = 0.00
0.00 + 0.06y = -0.3 + 0.46
0.06y = -0.3 + 0.46

Combine like terms: -0.3 + 0.46 = 0.16
0.06y = 0.16

Divide each side by '0.06'.
y = 2.666666667

Simplifying
y = 2.666666667

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