5(y-17)=2(y-3)

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Solution for 5(y-17)=2(y-3) equation:


Simplifying
5(y + -17) = 2(y + -3)

Reorder the terms:
5(-17 + y) = 2(y + -3)
(-17 * 5 + y * 5) = 2(y + -3)
(-85 + 5y) = 2(y + -3)

Reorder the terms:
-85 + 5y = 2(-3 + y)
-85 + 5y = (-3 * 2 + y * 2)
-85 + 5y = (-6 + 2y)

Solving
-85 + 5y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-85 + 5y + -2y = -6 + 2y + -2y

Combine like terms: 5y + -2y = 3y
-85 + 3y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-85 + 3y = -6 + 0
-85 + 3y = -6

Add '85' to each side of the equation.
-85 + 85 + 3y = -6 + 85

Combine like terms: -85 + 85 = 0
0 + 3y = -6 + 85
3y = -6 + 85

Combine like terms: -6 + 85 = 79
3y = 79

Divide each side by '3'.
y = 26.33333333

Simplifying
y = 26.33333333

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