0.12(y-3)+0.20y=0.16y-1.8

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Solution for 0.12(y-3)+0.20y=0.16y-1.8 equation: 


Simplifying
0.12(y + -3) + 0.20y = 0.16y + -1.8

Reorder the terms:
0.12(-3 + y) + 0.20y = 0.16y + -1.8
(-3 * 0.12 + y * 0.12) + 0.20y = 0.16y + -1.8
(-0.36 + 0.12y) + 0.20y = 0.16y + -1.8

Combine like terms: 0.12y + 0.20y = 0.32y
-0.36 + 0.32y = 0.16y + -1.8

Reorder the terms:
-0.36 + 0.32y = -1.8 + 0.16y

Solving
-0.36 + 0.32y = -1.8 + 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.
-0.36 + 0.32y + -0.16y = -1.8 + 0.16y + -0.16y

Combine like terms: 0.32y + -0.16y = 0.16y
-0.36 + 0.16y = -1.8 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-0.36 + 0.16y = -1.8 + 0.00
-0.36 + 0.16y = -1.8

Add '0.36' to each side of the equation.
-0.36 + 0.36 + 0.16y = -1.8 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + 0.16y = -1.8 + 0.36
0.16y = -1.8 + 0.36

Combine like terms: -1.8 + 0.36 = -1.44
0.16y = -1.44

Divide each side by '0.16'.
y = -9

Simplifying
y = -9

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