7(2y-5)=2(4y-17)

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Solution for 7(2y-5)=2(4y-17) equation:


Simplifying
7(2y + -5) = 2(4y + -17)

Reorder the terms:
7(-5 + 2y) = 2(4y + -17)
(-5 * 7 + 2y * 7) = 2(4y + -17)
(-35 + 14y) = 2(4y + -17)

Reorder the terms:
-35 + 14y = 2(-17 + 4y)
-35 + 14y = (-17 * 2 + 4y * 2)
-35 + 14y = (-34 + 8y)

Solving
-35 + 14y = -34 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-35 + 14y + -8y = -34 + 8y + -8y

Combine like terms: 14y + -8y = 6y
-35 + 6y = -34 + 8y + -8y

Combine like terms: 8y + -8y = 0
-35 + 6y = -34 + 0
-35 + 6y = -34

Add '35' to each side of the equation.
-35 + 35 + 6y = -34 + 35

Combine like terms: -35 + 35 = 0
0 + 6y = -34 + 35
6y = -34 + 35

Combine like terms: -34 + 35 = 1
6y = 1

Divide each side by '6'.
y = 0.1666666667

Simplifying
y = 0.1666666667

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