.666(y-9)=.75(y+8)

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Solution for .666(y-9)=.75(y+8) equation: 


Simplifying
0.666(y + -9) = 0.75(y + 8)

Reorder the terms:
0.666(-9 + y) = 0.75(y + 8)
(-9 * 0.666 + y * 0.666) = 0.75(y + 8)
(-5.994 + 0.666y) = 0.75(y + 8)

Reorder the terms:
-5.994 + 0.666y = 0.75(8 + y)
-5.994 + 0.666y = (8 * 0.75 + y * 0.75)
-5.994 + 0.666y = (6 + 0.75y)

Solving
-5.994 + 0.666y = 6 + 0.75y

Solving for variable 'y'.

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

Add '-0.75y' to each side of the equation.
-5.994 + 0.666y + -0.75y = 6 + 0.75y + -0.75y

Combine like terms: 0.666y + -0.75y = -0.084y
-5.994 + -0.084y = 6 + 0.75y + -0.75y

Combine like terms: 0.75y + -0.75y = 0.00
-5.994 + -0.084y = 6 + 0.00
-5.994 + -0.084y = 6

Add '5.994' to each side of the equation.
-5.994 + 5.994 + -0.084y = 6 + 5.994

Combine like terms: -5.994 + 5.994 = 0.000
0.000 + -0.084y = 6 + 5.994
-0.084y = 6 + 5.994

Combine like terms: 6 + 5.994 = 11.994
-0.084y = 11.994

Divide each side by '-0.084'.
y = -142.7857143

Simplifying
y = -142.7857143

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