0.16(y-4)+0.06y=0.02y-2.5

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Solution for 0.16(y-4)+0.06y=0.02y-2.5 equation: 


Simplifying
0.16(y + -4) + 0.06y = 0.02y + -2.5

Reorder the terms:
0.16(-4 + y) + 0.06y = 0.02y + -2.5
(-4 * 0.16 + y * 0.16) + 0.06y = 0.02y + -2.5
(-0.64 + 0.16y) + 0.06y = 0.02y + -2.5

Combine like terms: 0.16y + 0.06y = 0.22y
-0.64 + 0.22y = 0.02y + -2.5

Reorder the terms:
-0.64 + 0.22y = -2.5 + 0.02y

Solving
-0.64 + 0.22y = -2.5 + 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.
-0.64 + 0.22y + -0.02y = -2.5 + 0.02y + -0.02y

Combine like terms: 0.22y + -0.02y = 0.2y
-0.64 + 0.2y = -2.5 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.64 + 0.2y = -2.5 + 0.00
-0.64 + 0.2y = -2.5

Add '0.64' to each side of the equation.
-0.64 + 0.64 + 0.2y = -2.5 + 0.64

Combine like terms: -0.64 + 0.64 = 0.00
0.00 + 0.2y = -2.5 + 0.64
0.2y = -2.5 + 0.64

Combine like terms: -2.5 + 0.64 = -1.86
0.2y = -1.86

Divide each side by '0.2'.
y = -9.3

Simplifying
y = -9.3

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