3(y-5)+1=2y+34-2y

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Solution for 3(y-5)+1=2y+34-2y equation: 


Simplifying
3(y + -5) + 1 = 2y + 34 + -2y

Reorder the terms:
3(-5 + y) + 1 = 2y + 34 + -2y
(-5 * 3 + y * 3) + 1 = 2y + 34 + -2y
(-15 + 3y) + 1 = 2y + 34 + -2y

Reorder the terms:
-15 + 1 + 3y = 2y + 34 + -2y

Combine like terms: -15 + 1 = -14
-14 + 3y = 2y + 34 + -2y

Reorder the terms:
-14 + 3y = 34 + 2y + -2y

Combine like terms: 2y + -2y = 0
-14 + 3y = 34 + 0
-14 + 3y = 34

Solving
-14 + 3y = 34

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + 3y = 34 + 14

Combine like terms: -14 + 14 = 0
0 + 3y = 34 + 14
3y = 34 + 14

Combine like terms: 34 + 14 = 48
3y = 48

Divide each side by '3'.
y = 16

Simplifying
y = 16

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