3y-2+y+50=5+6y+45-4y

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Solution for 3y-2+y+50=5+6y+45-4y equation: 


Simplifying
3y + -2 + y + 50 = 5 + 6y + 45 + -4y

Reorder the terms:
-2 + 50 + 3y + y = 5 + 6y + 45 + -4y

Combine like terms: -2 + 50 = 48
48 + 3y + y = 5 + 6y + 45 + -4y

Combine like terms: 3y + y = 4y
48 + 4y = 5 + 6y + 45 + -4y

Reorder the terms:
48 + 4y = 5 + 45 + 6y + -4y

Combine like terms: 5 + 45 = 50
48 + 4y = 50 + 6y + -4y

Combine like terms: 6y + -4y = 2y
48 + 4y = 50 + 2y

Solving
48 + 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.
48 + 4y + -2y = 50 + 2y + -2y

Combine like terms: 4y + -2y = 2y
48 + 2y = 50 + 2y + -2y

Combine like terms: 2y + -2y = 0
48 + 2y = 50 + 0
48 + 2y = 50

Add '-48' to each side of the equation.
48 + -48 + 2y = 50 + -48

Combine like terms: 48 + -48 = 0
0 + 2y = 50 + -48
2y = 50 + -48

Combine like terms: 50 + -48 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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