Y+2.4y+1.7=1.7(y-3)

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Solution for Y+2.4y+1.7=1.7(y-3) equation: 


Simplifying
Y + 2.4y + 1.7 = 1.7(y + -3)

Reorder the terms:
1.7 + Y + 2.4y = 1.7(y + -3)

Reorder the terms:
1.7 + Y + 2.4y = 1.7(-3 + y)
1.7 + Y + 2.4y = (-3 * 1.7 + y * 1.7)
1.7 + Y + 2.4y = (-5.1 + 1.7y)

Solving
1.7 + Y + 2.4y = -5.1 + 1.7y

Solving for variable 'Y'.

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

Add '-1.7' to each side of the equation.
1.7 + Y + -1.7 + 2.4y = -5.1 + -1.7 + 1.7y

Reorder the terms:
1.7 + -1.7 + Y + 2.4y = -5.1 + -1.7 + 1.7y

Combine like terms: 1.7 + -1.7 = 0.0
0.0 + Y + 2.4y = -5.1 + -1.7 + 1.7y
Y + 2.4y = -5.1 + -1.7 + 1.7y

Combine like terms: -5.1 + -1.7 = -6.8
Y + 2.4y = -6.8 + 1.7y

Add '-2.4y' to each side of the equation.
Y + 2.4y + -2.4y = -6.8 + 1.7y + -2.4y

Combine like terms: 2.4y + -2.4y = 0.0
Y + 0.0 = -6.8 + 1.7y + -2.4y
Y = -6.8 + 1.7y + -2.4y

Combine like terms: 1.7y + -2.4y = -0.7y
Y = -6.8 + -0.7y

Simplifying
Y = -6.8 + -0.7y

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