0.16(y-9)+0.14y=0.10y-0.07(40)

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Solution for 0.16(y-9)+0.14y=0.10y-0.07(40) equation: 


Simplifying
0.16(y + -9) + 0.14y = 0.10y + -0.07(40)

Reorder the terms:
0.16(-9 + y) + 0.14y = 0.10y + -0.07(40)
(-9 * 0.16 + y * 0.16) + 0.14y = 0.10y + -0.07(40)
(-1.44 + 0.16y) + 0.14y = 0.10y + -0.07(40)

Combine like terms: 0.16y + 0.14y = 0.3y
-1.44 + 0.3y = 0.10y + -0.07(40)

Multiply -0.07 * 40
-1.44 + 0.3y = 0.10y + -2.8

Reorder the terms:
-1.44 + 0.3y = -2.8 + 0.10y

Solving
-1.44 + 0.3y = -2.8 + 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.
-1.44 + 0.3y + -0.10y = -2.8 + 0.10y + -0.10y

Combine like terms: 0.3y + -0.10y = 0.2y
-1.44 + 0.2y = -2.8 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-1.44 + 0.2y = -2.8 + 0.00
-1.44 + 0.2y = -2.8

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.2y = -2.8 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.2y = -2.8 + 1.44
0.2y = -2.8 + 1.44

Combine like terms: -2.8 + 1.44 = -1.36
0.2y = -1.36

Divide each side by '0.2'.
y = -6.8

Simplifying
y = -6.8

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