y-5=3y+1

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Solution for y-5=3y+1 equation:


Simplifying
y + -5 = 3y + 1

Reorder the terms:
-5 + y = 3y + 1

Reorder the terms:
-5 + y = 1 + 3y

Solving
-5 + y = 1 + 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.
-5 + y + -3y = 1 + 3y + -3y

Combine like terms: y + -3y = -2y
-5 + -2y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-5 + -2y = 1 + 0
-5 + -2y = 1

Add '5' to each side of the equation.
-5 + 5 + -2y = 1 + 5

Combine like terms: -5 + 5 = 0
0 + -2y = 1 + 5
-2y = 1 + 5

Combine like terms: 1 + 5 = 6
-2y = 6

Divide each side by '-2'.
y = -3

Simplifying
y = -3

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