4-0.3(y-17)=0.5(14y-17)

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Solution for 4-0.3(y-17)=0.5(14y-17) equation: 


Simplifying
4 + -0.3(y + -17) = 0.5(14y + -17)

Reorder the terms:
4 + -0.3(-17 + y) = 0.5(14y + -17)
4 + (-17 * -0.3 + y * -0.3) = 0.5(14y + -17)
4 + (5.1 + -0.3y) = 0.5(14y + -17)

Combine like terms: 4 + 5.1 = 9.1
9.1 + -0.3y = 0.5(14y + -17)

Reorder the terms:
9.1 + -0.3y = 0.5(-17 + 14y)
9.1 + -0.3y = (-17 * 0.5 + 14y * 0.5)
9.1 + -0.3y = (-8.5 + 7y)

Solving
9.1 + -0.3y = -8.5 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
9.1 + -0.3y + -7y = -8.5 + 7y + -7y

Combine like terms: -0.3y + -7y = -7.3y
9.1 + -7.3y = -8.5 + 7y + -7y

Combine like terms: 7y + -7y = 0
9.1 + -7.3y = -8.5 + 0
9.1 + -7.3y = -8.5

Add '-9.1' to each side of the equation.
9.1 + -9.1 + -7.3y = -8.5 + -9.1

Combine like terms: 9.1 + -9.1 = 0.0
0.0 + -7.3y = -8.5 + -9.1
-7.3y = -8.5 + -9.1

Combine like terms: -8.5 + -9.1 = -17.6
-7.3y = -17.6

Divide each side by '-7.3'.
y = 2.410958904

Simplifying
y = 2.410958904

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