17=-8y+5(y+4)

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Solution for 17=-8y+5(y+4) equation:


Simplifying
17 = -8y + 5(y + 4)

Reorder the terms:
17 = -8y + 5(4 + y)
17 = -8y + (4 * 5 + y * 5)
17 = -8y + (20 + 5y)

Reorder the terms:
17 = 20 + -8y + 5y

Combine like terms: -8y + 5y = -3y
17 = 20 + -3y

Solving
17 = 20 + -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 = 20 + -3y + 3y

Combine like terms: -3y + 3y = 0
17 + 3y = 20 + 0
17 + 3y = 20

Add '-17' to each side of the equation.
17 + -17 + 3y = 20 + -17

Combine like terms: 17 + -17 = 0
0 + 3y = 20 + -17
3y = 20 + -17

Combine like terms: 20 + -17 = 3
3y = 3

Divide each side by '3'.
y = 1

Simplifying
y = 1

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