y-1=5y-7

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


Simplifying
y + -1 = 5y + -7

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

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

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

Combine like terms: y + -5y = -4y
-1 + -4y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
-1 + -4y = -7 + 0
-1 + -4y = -7

Add '1' to each side of the equation.
-1 + 1 + -4y = -7 + 1

Combine like terms: -1 + 1 = 0
0 + -4y = -7 + 1
-4y = -7 + 1

Combine like terms: -7 + 1 = -6
-4y = -6

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

Simplifying
y = 1.5

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