7y+11=3y-5

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


Simplifying
7y + 11 = 3y + -5

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

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

Solving
11 + 7y = -5 + 3y

Solving for variable 'y'.

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

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

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

Combine like terms: 3y + -3y = 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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