3y-7=8y-2

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Solution for 3y-7=8y-2 equation:


Simplifying
3y + -7 = 8y + -2

Reorder the terms:
-7 + 3y = 8y + -2

Reorder the terms:
-7 + 3y = -2 + 8y

Solving
-7 + 3y = -2 + 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.
-7 + 3y + -8y = -2 + 8y + -8y

Combine like terms: 3y + -8y = -5y
-7 + -5y = -2 + 8y + -8y

Combine like terms: 8y + -8y = 0
-7 + -5y = -2 + 0
-7 + -5y = -2

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

Combine like terms: -7 + 7 = 0
0 + -5y = -2 + 7
-5y = -2 + 7

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

Divide each side by '-5'.
y = -1

Simplifying
y = -1

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