0.06(y-6)+0.08=0.04y-0.09(10)

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Solution for 0.06(y-6)+0.08=0.04y-0.09(10) equation: 


Simplifying
0.06(y + -6) + 0.08 = 0.04y + -0.09(10)

Reorder the terms:
0.06(-6 + y) + 0.08 = 0.04y + -0.09(10)
(-6 * 0.06 + y * 0.06) + 0.08 = 0.04y + -0.09(10)
(-0.36 + 0.06y) + 0.08 = 0.04y + -0.09(10)

Reorder the terms:
-0.36 + 0.08 + 0.06y = 0.04y + -0.09(10)

Combine like terms: -0.36 + 0.08 = -0.28
-0.28 + 0.06y = 0.04y + -0.09(10)

Multiply -0.09 * 10
-0.28 + 0.06y = 0.04y + -0.9

Reorder the terms:
-0.28 + 0.06y = -0.9 + 0.04y

Solving
-0.28 + 0.06y = -0.9 + 0.04y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.04y' to each side of the equation.
-0.28 + 0.06y + -0.04y = -0.9 + 0.04y + -0.04y

Combine like terms: 0.06y + -0.04y = 0.02y
-0.28 + 0.02y = -0.9 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-0.28 + 0.02y = -0.9 + 0.00
-0.28 + 0.02y = -0.9

Add '0.28' to each side of the equation.
-0.28 + 0.28 + 0.02y = -0.9 + 0.28

Combine like terms: -0.28 + 0.28 = 0.00
0.00 + 0.02y = -0.9 + 0.28
0.02y = -0.9 + 0.28

Combine like terms: -0.9 + 0.28 = -0.62
0.02y = -0.62

Divide each side by '0.02'.
y = -31

Simplifying
y = -31

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