0.12(y-6)+0.16Y=0.18y-0.7

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Solution for 0.12(y-6)+0.16Y=0.18y-0.7 equation: 


Simplifying
0.12(y + -6) + 0.16Y = 0.18y + -0.7

Reorder the terms:
0.12(-6 + y) + 0.16Y = 0.18y + -0.7
(-6 * 0.12 + y * 0.12) + 0.16Y = 0.18y + -0.7
(-0.72 + 0.12y) + 0.16Y = 0.18y + -0.7

Reorder the terms:
-0.72 + 0.16Y + 0.12y = 0.18y + -0.7

Reorder the terms:
-0.72 + 0.16Y + 0.12y = -0.7 + 0.18y

Solving
-0.72 + 0.16Y + 0.12y = -0.7 + 0.18y

Solving for variable 'Y'.

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

Add '0.72' to each side of the equation.
-0.72 + 0.16Y + 0.72 + 0.12y = -0.7 + 0.72 + 0.18y

Reorder the terms:
-0.72 + 0.72 + 0.16Y + 0.12y = -0.7 + 0.72 + 0.18y

Combine like terms: -0.72 + 0.72 = 0.00
0.00 + 0.16Y + 0.12y = -0.7 + 0.72 + 0.18y
0.16Y + 0.12y = -0.7 + 0.72 + 0.18y

Combine like terms: -0.7 + 0.72 = 0.02
0.16Y + 0.12y = 0.02 + 0.18y

Add '-0.12y' to each side of the equation.
0.16Y + 0.12y + -0.12y = 0.02 + 0.18y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
0.16Y + 0.00 = 0.02 + 0.18y + -0.12y
0.16Y = 0.02 + 0.18y + -0.12y

Combine like terms: 0.18y + -0.12y = 0.06y
0.16Y = 0.02 + 0.06y

Divide each side by '0.16'.
Y = 0.125 + 0.375y

Simplifying
Y = 0.125 + 0.375y

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