Y-6.5y-6.8=-6(y-1.7)

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Solution for Y-6.5y-6.8=-6(y-1.7) equation:


Simplifying
Y + -6.5y + -6.8 = -6(y + -1.7)

Reorder the terms:
-6.8 + Y + -6.5y = -6(y + -1.7)

Reorder the terms:
-6.8 + Y + -6.5y = -6(-1.7 + y)
-6.8 + Y + -6.5y = (-1.7 * -6 + y * -6)
-6.8 + Y + -6.5y = (10.2 + -6y)

Solving
-6.8 + Y + -6.5y = 10.2 + -6y

Solving for variable 'Y'.

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

Add '6.8' to each side of the equation.
-6.8 + Y + 6.8 + -6.5y = 10.2 + 6.8 + -6y

Reorder the terms:
-6.8 + 6.8 + Y + -6.5y = 10.2 + 6.8 + -6y

Combine like terms: -6.8 + 6.8 = 0.0
0.0 + Y + -6.5y = 10.2 + 6.8 + -6y
Y + -6.5y = 10.2 + 6.8 + -6y

Combine like terms: 10.2 + 6.8 = 17
Y + -6.5y = 17 + -6y

Add '6.5y' to each side of the equation.
Y + -6.5y + 6.5y = 17 + -6y + 6.5y

Combine like terms: -6.5y + 6.5y = 0.0
Y + 0.0 = 17 + -6y + 6.5y
Y = 17 + -6y + 6.5y

Combine like terms: -6y + 6.5y = 0.5y
Y = 17 + 0.5y

Simplifying
Y = 17 + 0.5y

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