17-y=14-(3y-7)

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Solution for 17-y=14-(3y-7) equation:


Simplifying
17 + -1y = 14 + -1(3y + -7)

Reorder the terms:
17 + -1y = 14 + -1(-7 + 3y)
17 + -1y = 14 + (-7 * -1 + 3y * -1)
17 + -1y = 14 + (7 + -3y)

Combine like terms: 14 + 7 = 21
17 + -1y = 21 + -3y

Solving
17 + -1y = 21 + -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 + -1y + 3y = 21 + -3y + 3y

Combine like terms: -1y + 3y = 2y
17 + 2y = 21 + -3y + 3y

Combine like terms: -3y + 3y = 0
17 + 2y = 21 + 0
17 + 2y = 21

Add '-17' to each side of the equation.
17 + -17 + 2y = 21 + -17

Combine like terms: 17 + -17 = 0
0 + 2y = 21 + -17
2y = 21 + -17

Combine like terms: 21 + -17 = 4
2y = 4

Divide each side by '2'.
y = 2

Simplifying
y = 2

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