2-3(y-5)=3+(y+1)

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Solution for 2-3(y-5)=3+(y+1) equation: 


Simplifying
2 + -3(y + -5) = 3 + (y + 1)

Reorder the terms:
2 + -3(-5 + y) = 3 + (y + 1)
2 + (-5 * -3 + y * -3) = 3 + (y + 1)
2 + (15 + -3y) = 3 + (y + 1)

Combine like terms: 2 + 15 = 17
17 + -3y = 3 + (y + 1)

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

Remove parenthesis around (1 + y)
17 + -3y = 3 + 1 + y

Combine like terms: 3 + 1 = 4
17 + -3y = 4 + y

Solving
17 + -3y = 4 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
17 + -3y + -1y = 4 + y + -1y

Combine like terms: -3y + -1y = -4y
17 + -4y = 4 + y + -1y

Combine like terms: y + -1y = 0
17 + -4y = 4 + 0
17 + -4y = 4

Add '-17' to each side of the equation.
17 + -17 + -4y = 4 + -17

Combine like terms: 17 + -17 = 0
0 + -4y = 4 + -17
-4y = 4 + -17

Combine like terms: 4 + -17 = -13
-4y = -13

Divide each side by '-4'.
y = 3.25

Simplifying
y = 3.25

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