3y+11=8y-16

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Solution for 3y+11=8y-16 equation:


Simplifying
3y + 11 = 8y + -16

Reorder the terms:
11 + 3y = 8y + -16

Reorder the terms:
11 + 3y = -16 + 8y

Solving
11 + 3y = -16 + 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.
11 + 3y + -8y = -16 + 8y + -8y

Combine like terms: 3y + -8y = -5y
11 + -5y = -16 + 8y + -8y

Combine like terms: 8y + -8y = 0
11 + -5y = -16 + 0
11 + -5y = -16

Add '-11' to each side of the equation.
11 + -11 + -5y = -16 + -11

Combine like terms: 11 + -11 = 0
0 + -5y = -16 + -11
-5y = -16 + -11

Combine like terms: -16 + -11 = -27
-5y = -27

Divide each side by '-5'.
y = 5.4

Simplifying
y = 5.4

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