0.16(y-9)+0.14y=0.20y-0.07(30)

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Solution for 0.16(y-9)+0.14y=0.20y-0.07(30) equation:


Simplifying
0.16(y + -9) + 0.14y = 0.20y + -0.07(30)

Reorder the terms:
0.16(-9 + y) + 0.14y = 0.20y + -0.07(30)
(-9 * 0.16 + y * 0.16) + 0.14y = 0.20y + -0.07(30)
(-1.44 + 0.16y) + 0.14y = 0.20y + -0.07(30)

Combine like terms: 0.16y + 0.14y = 0.3y
-1.44 + 0.3y = 0.20y + -0.07(30)

Multiply -0.07 * 30
-1.44 + 0.3y = 0.20y + -2.1

Reorder the terms:
-1.44 + 0.3y = -2.1 + 0.20y

Solving
-1.44 + 0.3y = -2.1 + 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.
-1.44 + 0.3y + -0.20y = -2.1 + 0.20y + -0.20y

Combine like terms: 0.3y + -0.20y = 0.1y
-1.44 + 0.1y = -2.1 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-1.44 + 0.1y = -2.1 + 0.00
-1.44 + 0.1y = -2.1

Add '1.44' to each side of the equation.
-1.44 + 1.44 + 0.1y = -2.1 + 1.44

Combine like terms: -1.44 + 1.44 = 0.00
0.00 + 0.1y = -2.1 + 1.44
0.1y = -2.1 + 1.44

Combine like terms: -2.1 + 1.44 = -0.66
0.1y = -0.66

Divide each side by '0.1'.
y = -6.6

Simplifying
y = -6.6

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