5y+1=6y-5+8

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Solution for 5y+1=6y-5+8 equation:


Simplifying
5y + 1 = 6y + -5 + 8

Reorder the terms:
1 + 5y = 6y + -5 + 8

Reorder the terms:
1 + 5y = -5 + 8 + 6y

Combine like terms: -5 + 8 = 3
1 + 5y = 3 + 6y

Solving
1 + 5y = 3 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
1 + 5y + -6y = 3 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
1 + -1y = 3 + 0
1 + -1y = 3

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

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

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

Divide each side by '-1'.
y = -2

Simplifying
y = -2

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