4y-3+y+45=6+7y+44-4y

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Solution for 4y-3+y+45=6+7y+44-4y equation: 


Simplifying
4y + -3 + y + 45 = 6 + 7y + 44 + -4y

Reorder the terms:
-3 + 45 + 4y + y = 6 + 7y + 44 + -4y

Combine like terms: -3 + 45 = 42
42 + 4y + y = 6 + 7y + 44 + -4y

Combine like terms: 4y + y = 5y
42 + 5y = 6 + 7y + 44 + -4y

Reorder the terms:
42 + 5y = 6 + 44 + 7y + -4y

Combine like terms: 6 + 44 = 50
42 + 5y = 50 + 7y + -4y

Combine like terms: 7y + -4y = 3y
42 + 5y = 50 + 3y

Solving
42 + 5y = 50 + 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.
42 + 5y + -3y = 50 + 3y + -3y

Combine like terms: 5y + -3y = 2y
42 + 2y = 50 + 3y + -3y

Combine like terms: 3y + -3y = 0
42 + 2y = 50 + 0
42 + 2y = 50

Add '-42' to each side of the equation.
42 + -42 + 2y = 50 + -42

Combine like terms: 42 + -42 = 0
0 + 2y = 50 + -42
2y = 50 + -42

Combine like terms: 50 + -42 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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