3y-5=8y+30

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Solution for 3y-5=8y+30 equation:


Simplifying
3y + -5 = 8y + 30

Reorder the terms:
-5 + 3y = 8y + 30

Reorder the terms:
-5 + 3y = 30 + 8y

Solving
-5 + 3y = 30 + 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 + 3y + -8y = 30 + 8y + -8y

Combine like terms: 3y + -8y = -5y
-5 + -5y = 30 + 8y + -8y

Combine like terms: 8y + -8y = 0
-5 + -5y = 30 + 0
-5 + -5y = 30

Add '5' to each side of the equation.
-5 + 5 + -5y = 30 + 5

Combine like terms: -5 + 5 = 0
0 + -5y = 30 + 5
-5y = 30 + 5

Combine like terms: 30 + 5 = 35
-5y = 35

Divide each side by '-5'.
y = -7

Simplifying
y = -7

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