5y-1=6y-7

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Solution for 5y-1=6y-7 equation:


Simplifying
5y + -1 = 6y + -7

Reorder the terms:
-1 + 5y = 6y + -7

Reorder the terms:
-1 + 5y = -7 + 6y

Solving
-1 + 5y = -7 + 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 = -7 + 6y + -6y

Combine like terms: 5y + -6y = -1y
-1 + -1y = -7 + 6y + -6y

Combine like terms: 6y + -6y = 0
-1 + -1y = -7 + 0
-1 + -1y = -7

Add '1' to each side of the equation.
-1 + 1 + -1y = -7 + 1

Combine like terms: -1 + 1 = 0
0 + -1y = -7 + 1
-1y = -7 + 1

Combine like terms: -7 + 1 = -6
-1y = -6

Divide each side by '-1'.
y = 6

Simplifying
y = 6

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