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

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


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

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

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

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

Solving
-14 + 3y = 2 + 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.
-14 + 3y + -1y = 2 + y + -1y

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

Combine like terms: y + -1y = 0
-14 + 2y = 2 + 0
-14 + 2y = 2

Add '14' to each side of the equation.
-14 + 14 + 2y = 2 + 14

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

Combine like terms: 2 + 14 = 16
2y = 16

Divide each side by '2'.
y = 8

Simplifying
y = 8

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