3y+6=11y+21

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Solution for 3y+6=11y+21 equation:


Simplifying
3y + 6 = 11y + 21

Reorder the terms:
6 + 3y = 11y + 21

Reorder the terms:
6 + 3y = 21 + 11y

Solving
6 + 3y = 21 + 11y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-11y' to each side of the equation.
6 + 3y + -11y = 21 + 11y + -11y

Combine like terms: 3y + -11y = -8y
6 + -8y = 21 + 11y + -11y

Combine like terms: 11y + -11y = 0
6 + -8y = 21 + 0
6 + -8y = 21

Add '-6' to each side of the equation.
6 + -6 + -8y = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 21 + -6
-8y = 21 + -6

Combine like terms: 21 + -6 = 15
-8y = 15

Divide each side by '-8'.
y = -1.875

Simplifying
y = -1.875

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