0.08(y-9)+0.02y=0.06y-0.01(40)

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Solution for 0.08(y-9)+0.02y=0.06y-0.01(40) equation:


Simplifying
0.08(y + -9) + 0.02y = 0.06y + -0.01(40)

Reorder the terms:
0.08(-9 + y) + 0.02y = 0.06y + -0.01(40)
(-9 * 0.08 + y * 0.08) + 0.02y = 0.06y + -0.01(40)
(-0.72 + 0.08y) + 0.02y = 0.06y + -0.01(40)

Combine like terms: 0.08y + 0.02y = 0.1y
-0.72 + 0.1y = 0.06y + -0.01(40)

Multiply -0.01 * 40
-0.72 + 0.1y = 0.06y + -0.4

Reorder the terms:
-0.72 + 0.1y = -0.4 + 0.06y

Solving
-0.72 + 0.1y = -0.4 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-0.72 + 0.1y + -0.06y = -0.4 + 0.06y + -0.06y

Combine like terms: 0.1y + -0.06y = 0.04y
-0.72 + 0.04y = -0.4 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.72 + 0.04y = -0.4 + 0.00
-0.72 + 0.04y = -0.4

Add '0.72' to each side of the equation.
-0.72 + 0.72 + 0.04y = -0.4 + 0.72

Combine like terms: -0.72 + 0.72 = 0.00
0.00 + 0.04y = -0.4 + 0.72
0.04y = -0.4 + 0.72

Combine like terms: -0.4 + 0.72 = 0.32
0.04y = 0.32

Divide each side by '0.04'.
y = 8

Simplifying
y = 8

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