3y+22=11y+78

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Solution for 3y+22=11y+78 equation:


Simplifying
3y + 22 = 11y + 78

Reorder the terms:
22 + 3y = 11y + 78

Reorder the terms:
22 + 3y = 78 + 11y

Solving
22 + 3y = 78 + 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.
22 + 3y + -11y = 78 + 11y + -11y

Combine like terms: 3y + -11y = -8y
22 + -8y = 78 + 11y + -11y

Combine like terms: 11y + -11y = 0
22 + -8y = 78 + 0
22 + -8y = 78

Add '-22' to each side of the equation.
22 + -22 + -8y = 78 + -22

Combine like terms: 22 + -22 = 0
0 + -8y = 78 + -22
-8y = 78 + -22

Combine like terms: 78 + -22 = 56
-8y = 56

Divide each side by '-8'.
y = -7

Simplifying
y = -7

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