0.06(y-9)+0.08y=0.10y-0.5

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Solution for 0.06(y-9)+0.08y=0.10y-0.5 equation:


Simplifying
0.06(y + -9) + 0.08y = 0.10y + -0.5

Reorder the terms:
0.06(-9 + y) + 0.08y = 0.10y + -0.5
(-9 * 0.06 + y * 0.06) + 0.08y = 0.10y + -0.5
(-0.54 + 0.06y) + 0.08y = 0.10y + -0.5

Combine like terms: 0.06y + 0.08y = 0.14y
-0.54 + 0.14y = 0.10y + -0.5

Reorder the terms:
-0.54 + 0.14y = -0.5 + 0.10y

Solving
-0.54 + 0.14y = -0.5 + 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.
-0.54 + 0.14y + -0.10y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.14y + -0.10y = 0.04y
-0.54 + 0.04y = -0.5 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.54 + 0.04y = -0.5 + 0.00
-0.54 + 0.04y = -0.5

Add '0.54' to each side of the equation.
-0.54 + 0.54 + 0.04y = -0.5 + 0.54

Combine like terms: -0.54 + 0.54 = 0.00
0.00 + 0.04y = -0.5 + 0.54
0.04y = -0.5 + 0.54

Combine like terms: -0.5 + 0.54 = 0.04
0.04y = 0.04

Divide each side by '0.04'.
y = 1

Simplifying
y = 1

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