0.06(y-3)+0.02y=0.10y-0.01(30)

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Solution for 0.06(y-3)+0.02y=0.10y-0.01(30) equation:


Simplifying
0.06(y + -3) + 0.02y = 0.10y + -0.01(30)

Reorder the terms:
0.06(-3 + y) + 0.02y = 0.10y + -0.01(30)
(-3 * 0.06 + y * 0.06) + 0.02y = 0.10y + -0.01(30)
(-0.18 + 0.06y) + 0.02y = 0.10y + -0.01(30)

Combine like terms: 0.06y + 0.02y = 0.08y
-0.18 + 0.08y = 0.10y + -0.01(30)

Multiply -0.01 * 30
-0.18 + 0.08y = 0.10y + -0.3

Reorder the terms:
-0.18 + 0.08y = -0.3 + 0.10y

Solving
-0.18 + 0.08y = -0.3 + 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.
-0.18 + 0.08y + -0.10y = -0.3 + 0.10y + -0.10y

Combine like terms: 0.08y + -0.10y = -0.02y
-0.18 + -0.02y = -0.3 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.18 + -0.02y = -0.3 + 0.00
-0.18 + -0.02y = -0.3

Add '0.18' to each side of the equation.
-0.18 + 0.18 + -0.02y = -0.3 + 0.18

Combine like terms: -0.18 + 0.18 = 0.00
0.00 + -0.02y = -0.3 + 0.18
-0.02y = -0.3 + 0.18

Combine like terms: -0.3 + 0.18 = -0.12
-0.02y = -0.12

Divide each side by '-0.02'.
y = 6

Simplifying
y = 6

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