3y+11=7y-5

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Solution for 3y+11=7y-5 equation:


Simplifying
3y + 11 = 7y + -5

Reorder the terms:
11 + 3y = 7y + -5

Reorder the terms:
11 + 3y = -5 + 7y

Solving
11 + 3y = -5 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
11 + 3y + -7y = -5 + 7y + -7y

Combine like terms: 3y + -7y = -4y
11 + -4y = -5 + 7y + -7y

Combine like terms: 7y + -7y = 0
11 + -4y = -5 + 0
11 + -4y = -5

Add '-11' to each side of the equation.
11 + -11 + -4y = -5 + -11

Combine like terms: 11 + -11 = 0
0 + -4y = -5 + -11
-4y = -5 + -11

Combine like terms: -5 + -11 = -16
-4y = -16

Divide each side by '-4'.
y = 4

Simplifying
y = 4

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