0.14(y-8)+0.16y=0.20y-0.05(30)

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Solution for 0.14(y-8)+0.16y=0.20y-0.05(30) equation:


Simplifying
0.14(y + -8) + 0.16y = 0.20y + -0.05(30)

Reorder the terms:
0.14(-8 + y) + 0.16y = 0.20y + -0.05(30)
(-8 * 0.14 + y * 0.14) + 0.16y = 0.20y + -0.05(30)
(-1.12 + 0.14y) + 0.16y = 0.20y + -0.05(30)

Combine like terms: 0.14y + 0.16y = 0.3y
-1.12 + 0.3y = 0.20y + -0.05(30)

Multiply -0.05 * 30
-1.12 + 0.3y = 0.20y + -1.5

Reorder the terms:
-1.12 + 0.3y = -1.5 + 0.20y

Solving
-1.12 + 0.3y = -1.5 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-1.12 + 0.3y + -0.20y = -1.5 + 0.20y + -0.20y

Combine like terms: 0.3y + -0.20y = 0.1y
-1.12 + 0.1y = -1.5 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-1.12 + 0.1y = -1.5 + 0.00
-1.12 + 0.1y = -1.5

Add '1.12' to each side of the equation.
-1.12 + 1.12 + 0.1y = -1.5 + 1.12

Combine like terms: -1.12 + 1.12 = 0.00
0.00 + 0.1y = -1.5 + 1.12
0.1y = -1.5 + 1.12

Combine like terms: -1.5 + 1.12 = -0.38
0.1y = -0.38

Divide each side by '0.1'.
y = -3.8

Simplifying
y = -3.8

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