0.08(y-8)+0.10y=0.02y-0.4

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Solution for 0.08(y-8)+0.10y=0.02y-0.4 equation: 


Simplifying
0.08(y + -8) + 0.10y = 0.02y + -0.4

Reorder the terms:
0.08(-8 + y) + 0.10y = 0.02y + -0.4
(-8 * 0.08 + y * 0.08) + 0.10y = 0.02y + -0.4
(-0.64 + 0.08y) + 0.10y = 0.02y + -0.4

Combine like terms: 0.08y + 0.10y = 0.18y
-0.64 + 0.18y = 0.02y + -0.4

Reorder the terms:
-0.64 + 0.18y = -0.4 + 0.02y

Solving
-0.64 + 0.18y = -0.4 + 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 + 0.18y + -0.02y = -0.4 + 0.02y + -0.02y

Combine like terms: 0.18y + -0.02y = 0.16y
-0.64 + 0.16y = -0.4 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.64 + 0.16y = -0.4 + 0.00
-0.64 + 0.16y = -0.4

Add '0.64' to each side of the equation.
-0.64 + 0.64 + 0.16y = -0.4 + 0.64

Combine like terms: -0.64 + 0.64 = 0.00
0.00 + 0.16y = -0.4 + 0.64
0.16y = -0.4 + 0.64

Combine like terms: -0.4 + 0.64 = 0.24
0.16y = 0.24

Divide each side by '0.16'.
y = 1.5

Simplifying
y = 1.5

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