y-10=7y+8

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Solution for y-10=7y+8 equation:


Simplifying
y + -10 = 7y + 8

Reorder the terms:
-10 + y = 7y + 8

Reorder the terms:
-10 + y = 8 + 7y

Solving
-10 + 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.
-10 + y + -7y = 8 + 7y + -7y

Combine like terms: y + -7y = -6y
-10 + -6y = 8 + 7y + -7y

Combine like terms: 7y + -7y = 0
-10 + -6y = 8 + 0
-10 + -6y = 8

Add '10' to each side of the equation.
-10 + 10 + -6y = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -6y = 8 + 10
-6y = 8 + 10

Combine like terms: 8 + 10 = 18
-6y = 18

Divide each side by '-6'.
y = -3

Simplifying
y = -3

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