4y+1=5y-1

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


Simplifying
4y + 1 = 5y + -1

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

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

Solving
1 + 4y = -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.
1 + 4y + -5y = -1 + 5y + -5y

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

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

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

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

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

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

Simplifying
y = 2

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