5y+11=8y-12

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Solution for 5y+11=8y-12 equation:


Simplifying
5y + 11 = 8y + -12

Reorder the terms:
11 + 5y = 8y + -12

Reorder the terms:
11 + 5y = -12 + 8y

Solving
11 + 5y = -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.
11 + 5y + -8y = -12 + 8y + -8y

Combine like terms: 5y + -8y = -3y
11 + -3y = -12 + 8y + -8y

Combine like terms: 8y + -8y = 0
11 + -3y = -12 + 0
11 + -3y = -12

Add '-11' to each side of the equation.
11 + -11 + -3y = -12 + -11

Combine like terms: 11 + -11 = 0
0 + -3y = -12 + -11
-3y = -12 + -11

Combine like terms: -12 + -11 = -23
-3y = -23

Divide each side by '-3'.
y = 7.666666667

Simplifying
y = 7.666666667

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