y-3=7y-8

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Solution for y-3=7y-8 equation:


Simplifying
y + -3 = 7y + -8

Reorder the terms:
-3 + y = 7y + -8

Reorder the terms:
-3 + y = -8 + 7y

Solving
-3 + y = -8 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-3 + y + -7y = -8 + 7y + -7y

Combine like terms: y + -7y = -6y
-3 + -6y = -8 + 7y + -7y

Combine like terms: 7y + -7y = 0
-3 + -6y = -8 + 0
-3 + -6y = -8

Add '3' to each side of the equation.
-3 + 3 + -6y = -8 + 3

Combine like terms: -3 + 3 = 0
0 + -6y = -8 + 3
-6y = -8 + 3

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

Divide each side by '-6'.
y = 0.8333333333

Simplifying
y = 0.8333333333

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