0.20(y-3)+0.14y=0.04y-0.05(30)

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Solution for 0.20(y-3)+0.14y=0.04y-0.05(30) equation:


Simplifying
0.20(y + -3) + 0.14y = 0.04y + -0.05(30)

Reorder the terms:
0.20(-3 + y) + 0.14y = 0.04y + -0.05(30)
(-3 * 0.20 + y * 0.20) + 0.14y = 0.04y + -0.05(30)
(-0.6 + 0.20y) + 0.14y = 0.04y + -0.05(30)

Combine like terms: 0.20y + 0.14y = 0.34y
-0.6 + 0.34y = 0.04y + -0.05(30)

Multiply -0.05 * 30
-0.6 + 0.34y = 0.04y + -1.5

Reorder the terms:
-0.6 + 0.34y = -1.5 + 0.04y

Solving
-0.6 + 0.34y = -1.5 + 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.
-0.6 + 0.34y + -0.04y = -1.5 + 0.04y + -0.04y

Combine like terms: 0.34y + -0.04y = 0.3y
-0.6 + 0.3y = -1.5 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-0.6 + 0.3y = -1.5 + 0.00
-0.6 + 0.3y = -1.5

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.3y = -1.5 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.3y = -1.5 + 0.6
0.3y = -1.5 + 0.6

Combine like terms: -1.5 + 0.6 = -0.9
0.3y = -0.9

Divide each side by '0.3'.
y = -3

Simplifying
y = -3

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