17=3(y+4)-8y

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Solution for 17=3(y+4)-8y equation: 


Simplifying
17 = 3(y + 4) + -8y

Reorder the terms:
17 = 3(4 + y) + -8y
17 = (4 * 3 + y * 3) + -8y
17 = (12 + 3y) + -8y

Combine like terms: 3y + -8y = -5y
17 = 12 + -5y

Solving
17 = 12 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
17 + 5y = 12 + -5y + 5y

Combine like terms: -5y + 5y = 0
17 + 5y = 12 + 0
17 + 5y = 12

Add '-17' to each side of the equation.
17 + -17 + 5y = 12 + -17

Combine like terms: 17 + -17 = 0
0 + 5y = 12 + -17
5y = 12 + -17

Combine like terms: 12 + -17 = -5
5y = -5

Divide each side by '5'.
y = -1

Simplifying
y = -1

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