3y+5=8y-12

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Solution for 3y+5=8y-12 equation:


Simplifying
3y + 5 = 8y + -12

Reorder the terms:
5 + 3y = 8y + -12

Reorder the terms:
5 + 3y = -12 + 8y

Solving
5 + 3y = -12 + 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 = -12 + 8y + -8y

Combine like terms: 3y + -8y = -5y
5 + -5y = -12 + 8y + -8y

Combine like terms: 8y + -8y = 0
5 + -5y = -12 + 0
5 + -5y = -12

Add '-5' to each side of the equation.
5 + -5 + -5y = -12 + -5

Combine like terms: 5 + -5 = 0
0 + -5y = -12 + -5
-5y = -12 + -5

Combine like terms: -12 + -5 = -17
-5y = -17

Divide each side by '-5'.
y = 3.4

Simplifying
y = 3.4

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