3y+2=8y-13

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Solution for 3y+2=8y-13 equation:


Simplifying
3y + 2 = 8y + -13

Reorder the terms:
2 + 3y = 8y + -13

Reorder the terms:
2 + 3y = -13 + 8y

Solving
2 + 3y = -13 + 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.
2 + 3y + -8y = -13 + 8y + -8y

Combine like terms: 3y + -8y = -5y
2 + -5y = -13 + 8y + -8y

Combine like terms: 8y + -8y = 0
2 + -5y = -13 + 0
2 + -5y = -13

Add '-2' to each side of the equation.
2 + -2 + -5y = -13 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = -13 + -2
-5y = -13 + -2

Combine like terms: -13 + -2 = -15
-5y = -15

Divide each side by '-5'.
y = 3

Simplifying
y = 3

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