3y+4=11y-12

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Solution for 3y+4=11y-12 equation:


Simplifying
3y + 4 = 11y + -12

Reorder the terms:
4 + 3y = 11y + -12

Reorder the terms:
4 + 3y = -12 + 11y

Solving
4 + 3y = -12 + 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.
4 + 3y + -11y = -12 + 11y + -11y

Combine like terms: 3y + -11y = -8y
4 + -8y = -12 + 11y + -11y

Combine like terms: 11y + -11y = 0
4 + -8y = -12 + 0
4 + -8y = -12

Add '-4' to each side of the equation.
4 + -4 + -8y = -12 + -4

Combine like terms: 4 + -4 = 0
0 + -8y = -12 + -4
-8y = -12 + -4

Combine like terms: -12 + -4 = -16
-8y = -16

Divide each side by '-8'.
y = 2

Simplifying
y = 2

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