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

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


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

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

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

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

Combine like terms: 1 + -2 = -1
-1 + y = 5(y + 1)

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

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

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

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

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

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

Combine like terms: 5 + 1 = 6
-4y = 6

Divide each side by '-4'.
y = -1.5

Simplifying
y = -1.5

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