3y-3+y+53=6y+50-44

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Solution for 3y-3+y+53=6y+50-44 equation:


Simplifying
3y + -3 + y + 53 = 6y + 50 + -44

Reorder the terms:
-3 + 53 + 3y + y = 6y + 50 + -44

Combine like terms: -3 + 53 = 50
50 + 3y + y = 6y + 50 + -44

Combine like terms: 3y + y = 4y
50 + 4y = 6y + 50 + -44

Reorder the terms:
50 + 4y = 50 + -44 + 6y

Combine like terms: 50 + -44 = 6
50 + 4y = 6 + 6y

Solving
50 + 4y = 6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
50 + 4y + -6y = 6 + 6y + -6y

Combine like terms: 4y + -6y = -2y
50 + -2y = 6 + 6y + -6y

Combine like terms: 6y + -6y = 0
50 + -2y = 6 + 0
50 + -2y = 6

Add '-50' to each side of the equation.
50 + -50 + -2y = 6 + -50

Combine like terms: 50 + -50 = 0
0 + -2y = 6 + -50
-2y = 6 + -50

Combine like terms: 6 + -50 = -44
-2y = -44

Divide each side by '-2'.
y = 22

Simplifying
y = 22

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