-3y-11=4y+31

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Solution for -3y-11=4y+31 equation:


Simplifying
-3y + -11 = 4y + 31

Reorder the terms:
-11 + -3y = 4y + 31

Reorder the terms:
-11 + -3y = 31 + 4y

Solving
-11 + -3y = 31 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-11 + -3y + -4y = 31 + 4y + -4y

Combine like terms: -3y + -4y = -7y
-11 + -7y = 31 + 4y + -4y

Combine like terms: 4y + -4y = 0
-11 + -7y = 31 + 0
-11 + -7y = 31

Add '11' to each side of the equation.
-11 + 11 + -7y = 31 + 11

Combine like terms: -11 + 11 = 0
0 + -7y = 31 + 11
-7y = 31 + 11

Combine like terms: 31 + 11 = 42
-7y = 42

Divide each side by '-7'.
y = -6

Simplifying
y = -6

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