.16(y-3)+.04y=.02y-2.1

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Solution for .16(y-3)+.04y=.02y-2.1 equation: 


Simplifying
0.16(y + -3) + 0.04y = 0.02y + -2.1

Reorder the terms:
0.16(-3 + y) + 0.04y = 0.02y + -2.1
(-3 * 0.16 + y * 0.16) + 0.04y = 0.02y + -2.1
(-0.48 + 0.16y) + 0.04y = 0.02y + -2.1

Combine like terms: 0.16y + 0.04y = 0.2y
-0.48 + 0.2y = 0.02y + -2.1

Reorder the terms:
-0.48 + 0.2y = -2.1 + 0.02y

Solving
-0.48 + 0.2y = -2.1 + 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.
-0.48 + 0.2y + -0.02y = -2.1 + 0.02y + -0.02y

Combine like terms: 0.2y + -0.02y = 0.18y
-0.48 + 0.18y = -2.1 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.48 + 0.18y = -2.1 + 0.00
-0.48 + 0.18y = -2.1

Add '0.48' to each side of the equation.
-0.48 + 0.48 + 0.18y = -2.1 + 0.48

Combine like terms: -0.48 + 0.48 = 0.00
0.00 + 0.18y = -2.1 + 0.48
0.18y = -2.1 + 0.48

Combine like terms: -2.1 + 0.48 = -1.62
0.18y = -1.62

Divide each side by '0.18'.
y = -9

Simplifying
y = -9

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