3y+17=-7(y-1)

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Solution for 3y+17=-7(y-1) equation: 


Simplifying
3y + 17 = -7(y + -1)

Reorder the terms:
17 + 3y = -7(y + -1)

Reorder the terms:
17 + 3y = -7(-1 + y)
17 + 3y = (-1 * -7 + y * -7)
17 + 3y = (7 + -7y)

Solving
17 + 3y = 7 + -7y

Solving for variable 'y'.

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

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

Combine like terms: 3y + 7y = 10y
17 + 10y = 7 + -7y + 7y

Combine like terms: -7y + 7y = 0
17 + 10y = 7 + 0
17 + 10y = 7

Add '-17' to each side of the equation.
17 + -17 + 10y = 7 + -17

Combine like terms: 17 + -17 = 0
0 + 10y = 7 + -17
10y = 7 + -17

Combine like terms: 7 + -17 = -10
10y = -10

Divide each side by '10'.
y = -1

Simplifying
y = -1

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