17=3(y-5)+8

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Solution for 17=3(y-5)+8 equation: 


Simplifying
17 = 3(y + -5) + 8

Reorder the terms:
17 = 3(-5 + y) + 8
17 = (-5 * 3 + y * 3) + 8
17 = (-15 + 3y) + 8

Reorder the terms:
17 = -15 + 8 + 3y

Combine like terms: -15 + 8 = -7
17 = -7 + 3y

Solving
17 = -7 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
17 + -3y = -7 + 3y + -3y

Combine like terms: 3y + -3y = 0
17 + -3y = -7 + 0
17 + -3y = -7

Add '-17' to each side of the equation.
17 + -17 + -3y = -7 + -17

Combine like terms: 17 + -17 = 0
0 + -3y = -7 + -17
-3y = -7 + -17

Combine like terms: -7 + -17 = -24
-3y = -24

Divide each side by '-3'.
y = 8

Simplifying
y = 8

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