0.04(y-6)+0.02y=0.08y-0.03(10)

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Solution for 0.04(y-6)+0.02y=0.08y-0.03(10) equation:


Simplifying
0.04(y + -6) + 0.02y = 0.08y + -0.03(10)

Reorder the terms:
0.04(-6 + y) + 0.02y = 0.08y + -0.03(10)
(-6 * 0.04 + y * 0.04) + 0.02y = 0.08y + -0.03(10)
(-0.24 + 0.04y) + 0.02y = 0.08y + -0.03(10)

Combine like terms: 0.04y + 0.02y = 0.06y
-0.24 + 0.06y = 0.08y + -0.03(10)

Multiply -0.03 * 10
-0.24 + 0.06y = 0.08y + -0.3

Reorder the terms:
-0.24 + 0.06y = -0.3 + 0.08y

Solving
-0.24 + 0.06y = -0.3 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-0.24 + 0.06y + -0.08y = -0.3 + 0.08y + -0.08y

Combine like terms: 0.06y + -0.08y = -0.02y
-0.24 + -0.02y = -0.3 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-0.24 + -0.02y = -0.3 + 0.00
-0.24 + -0.02y = -0.3

Add '0.24' to each side of the equation.
-0.24 + 0.24 + -0.02y = -0.3 + 0.24

Combine like terms: -0.24 + 0.24 = 0.00
0.00 + -0.02y = -0.3 + 0.24
-0.02y = -0.3 + 0.24

Combine like terms: -0.3 + 0.24 = -0.06
-0.02y = -0.06

Divide each side by '-0.02'.
y = 3

Simplifying
y = 3

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