(y+1)=(4y-5)

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Solution for (y+1)=(4y-5) equation:


Simplifying
(y + 1) = (4y + -5)

Reorder the terms:
(1 + y) = (4y + -5)

Remove parenthesis around (1 + y)
1 + y = (4y + -5)

Reorder the terms:
1 + y = (-5 + 4y)

Remove parenthesis around (-5 + 4y)
1 + y = -5 + 4y

Solving
1 + y = -5 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
1 + y + -4y = -5 + 4y + -4y

Combine like terms: y + -4y = -3y
1 + -3y = -5 + 4y + -4y

Combine like terms: 4y + -4y = 0
1 + -3y = -5 + 0
1 + -3y = -5

Add '-1' to each side of the equation.
1 + -1 + -3y = -5 + -1

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

Combine like terms: -5 + -1 = -6
-3y = -6

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

Simplifying
y = 2

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