35=17-3(y-2)

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Solution for 35=17-3(y-2) equation:


Simplifying
35 = 17 + -3(y + -2)

Reorder the terms:
35 = 17 + -3(-2 + y)
35 = 17 + (-2 * -3 + y * -3)
35 = 17 + (6 + -3y)

Combine like terms: 17 + 6 = 23
35 = 23 + -3y

Solving
35 = 23 + -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.
35 + 3y = 23 + -3y + 3y

Combine like terms: -3y + 3y = 0
35 + 3y = 23 + 0
35 + 3y = 23

Add '-35' to each side of the equation.
35 + -35 + 3y = 23 + -35

Combine like terms: 35 + -35 = 0
0 + 3y = 23 + -35
3y = 23 + -35

Combine like terms: 23 + -35 = -12
3y = -12

Divide each side by '3'.
y = -4

Simplifying
y = -4

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