3y-4+y+42=7+7y+33-5y

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Solution for 3y-4+y+42=7+7y+33-5y equation: 


Simplifying
3y + -4 + y + 42 = 7 + 7y + 33 + -5y

Reorder the terms:
-4 + 42 + 3y + y = 7 + 7y + 33 + -5y

Combine like terms: -4 + 42 = 38
38 + 3y + y = 7 + 7y + 33 + -5y

Combine like terms: 3y + y = 4y
38 + 4y = 7 + 7y + 33 + -5y

Reorder the terms:
38 + 4y = 7 + 33 + 7y + -5y

Combine like terms: 7 + 33 = 40
38 + 4y = 40 + 7y + -5y

Combine like terms: 7y + -5y = 2y
38 + 4y = 40 + 2y

Solving
38 + 4y = 40 + 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.
38 + 4y + -2y = 40 + 2y + -2y

Combine like terms: 4y + -2y = 2y
38 + 2y = 40 + 2y + -2y

Combine like terms: 2y + -2y = 0
38 + 2y = 40 + 0
38 + 2y = 40

Add '-38' to each side of the equation.
38 + -38 + 2y = 40 + -38

Combine like terms: 38 + -38 = 0
0 + 2y = 40 + -38
2y = 40 + -38

Combine like terms: 40 + -38 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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