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

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


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

Reorder the terms:
(2 + y) = (5y + 1)

Remove parenthesis around (2 + y)
2 + y = (5y + 1)

Reorder the terms:
2 + y = (1 + 5y)

Remove parenthesis around (1 + 5y)
2 + y = 1 + 5y

Solving
2 + y = 1 + 5y

Solving for variable 'y'.

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

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

Combine like terms: y + -5y = -4y
2 + -4y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
2 + -4y = 1 + 0
2 + -4y = 1

Add '-2' to each side of the equation.
2 + -2 + -4y = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -4y = 1 + -2
-4y = 1 + -2

Combine like terms: 1 + -2 = -1
-4y = -1

Divide each side by '-4'.
y = 0.25

Simplifying
y = 0.25

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