3y-3+y+45=5+7y+45-5y

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Solution for 3y-3+y+45=5+7y+45-5y equation: 


Simplifying
3y + -3 + y + 45 = 5 + 7y + 45 + -5y

Reorder the terms:
-3 + 45 + 3y + y = 5 + 7y + 45 + -5y

Combine like terms: -3 + 45 = 42
42 + 3y + y = 5 + 7y + 45 + -5y

Combine like terms: 3y + y = 4y
42 + 4y = 5 + 7y + 45 + -5y

Reorder the terms:
42 + 4y = 5 + 45 + 7y + -5y

Combine like terms: 5 + 45 = 50
42 + 4y = 50 + 7y + -5y

Combine like terms: 7y + -5y = 2y
42 + 4y = 50 + 2y

Solving
42 + 4y = 50 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
42 + 4y + -2y = 50 + 2y + -2y

Combine like terms: 4y + -2y = 2y
42 + 2y = 50 + 2y + -2y

Combine like terms: 2y + -2y = 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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