2y-5=8y+7

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Solution for 2y-5=8y+7 equation:


Simplifying
2y + -5 = 8y + 7

Reorder the terms:
-5 + 2y = 8y + 7

Reorder the terms:
-5 + 2y = 7 + 8y

Solving
-5 + 2y = 7 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-5 + 2y + -8y = 7 + 8y + -8y

Combine like terms: 2y + -8y = -6y
-5 + -6y = 7 + 8y + -8y

Combine like terms: 8y + -8y = 0
-5 + -6y = 7 + 0
-5 + -6y = 7

Add '5' to each side of the equation.
-5 + 5 + -6y = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -6y = 7 + 5
-6y = 7 + 5

Combine like terms: 7 + 5 = 12
-6y = 12

Divide each side by '-6'.
y = -2

Simplifying
y = -2

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