3y+10=8y-11

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Solution for 3y+10=8y-11 equation:


Simplifying
3y + 10 = 8y + -11

Reorder the terms:
10 + 3y = 8y + -11

Reorder the terms:
10 + 3y = -11 + 8y

Solving
10 + 3y = -11 + 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.
10 + 3y + -8y = -11 + 8y + -8y

Combine like terms: 3y + -8y = -5y
10 + -5y = -11 + 8y + -8y

Combine like terms: 8y + -8y = 0
10 + -5y = -11 + 0
10 + -5y = -11

Add '-10' to each side of the equation.
10 + -10 + -5y = -11 + -10

Combine like terms: 10 + -10 = 0
0 + -5y = -11 + -10
-5y = -11 + -10

Combine like terms: -11 + -10 = -21
-5y = -21

Divide each side by '-5'.
y = 4.2

Simplifying
y = 4.2

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