6-(4y+1)=5(y+1)-y

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Solution for 6-(4y+1)=5(y+1)-y equation:


Simplifying
6 + -1(4y + 1) = 5(y + 1) + -1y

Reorder the terms:
6 + -1(1 + 4y) = 5(y + 1) + -1y
6 + (1 * -1 + 4y * -1) = 5(y + 1) + -1y
6 + (-1 + -4y) = 5(y + 1) + -1y

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

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

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

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

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

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

Solving
-4y = 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.
-4y + -4y = 4y + -4y

Combine like terms: -4y + -4y = -8y
-8y = 4y + -4y

Combine like terms: 4y + -4y = 0
-8y = 0

Divide each side by '-8'.
y = 0

Simplifying
y = 0

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