.04(y-3)+.10y=.06y-.01(10)

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Solution for .04(y-3)+.10y=.06y-.01(10) equation:


Simplifying
0.04(y + -3) + 0.10y = 0.06y + -0.01(10)

Reorder the terms:
0.04(-3 + y) + 0.10y = 0.06y + -0.01(10)
(-3 * 0.04 + y * 0.04) + 0.10y = 0.06y + -0.01(10)
(-0.12 + 0.04y) + 0.10y = 0.06y + -0.01(10)

Combine like terms: 0.04y + 0.10y = 0.14y
-0.12 + 0.14y = 0.06y + -0.01(10)

Multiply -0.01 * 10
-0.12 + 0.14y = 0.06y + -0.1

Reorder the terms:
-0.12 + 0.14y = -0.1 + 0.06y

Solving
-0.12 + 0.14y = -0.1 + 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.
-0.12 + 0.14y + -0.06y = -0.1 + 0.06y + -0.06y

Combine like terms: 0.14y + -0.06y = 0.08y
-0.12 + 0.08y = -0.1 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-0.12 + 0.08y = -0.1 + 0.00
-0.12 + 0.08y = -0.1

Add '0.12' to each side of the equation.
-0.12 + 0.12 + 0.08y = -0.1 + 0.12

Combine like terms: -0.12 + 0.12 = 0.00
0.00 + 0.08y = -0.1 + 0.12
0.08y = -0.1 + 0.12

Combine like terms: -0.1 + 0.12 = 0.02
0.08y = 0.02

Divide each side by '0.08'.
y = 0.25

Simplifying
y = 0.25

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