0.14(y-3)+0.10y=0.16y-0.03(40)

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Solution for 0.14(y-3)+0.10y=0.16y-0.03(40) equation:


Simplifying
0.14(y + -3) + 0.10y = 0.16y + -0.03(40)

Reorder the terms:
0.14(-3 + y) + 0.10y = 0.16y + -0.03(40)
(-3 * 0.14 + y * 0.14) + 0.10y = 0.16y + -0.03(40)
(-0.42 + 0.14y) + 0.10y = 0.16y + -0.03(40)

Combine like terms: 0.14y + 0.10y = 0.24y
-0.42 + 0.24y = 0.16y + -0.03(40)

Multiply -0.03 * 40
-0.42 + 0.24y = 0.16y + -1.2

Reorder the terms:
-0.42 + 0.24y = -1.2 + 0.16y

Solving
-0.42 + 0.24y = -1.2 + 0.16y

Solving for variable 'y'.

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

Add '-0.16y' to each side of the equation.
-0.42 + 0.24y + -0.16y = -1.2 + 0.16y + -0.16y

Combine like terms: 0.24y + -0.16y = 0.08y
-0.42 + 0.08y = -1.2 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.42 + 0.08y = -1.2 + 0.00
-0.42 + 0.08y = -1.2

Add '0.42' to each side of the equation.
-0.42 + 0.42 + 0.08y = -1.2 + 0.42

Combine like terms: -0.42 + 0.42 = 0.00
0.00 + 0.08y = -1.2 + 0.42
0.08y = -1.2 + 0.42

Combine like terms: -1.2 + 0.42 = -0.78
0.08y = -0.78

Divide each side by '0.08'.
y = -9.75

Simplifying
y = -9.75

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