4y-3+y+51=5y+50-2y

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Solution for 4y-3+y+51=5y+50-2y equation: 


Simplifying
4y + -3 + y + 51 = 5y + 50 + -2y

Reorder the terms:
-3 + 51 + 4y + y = 5y + 50 + -2y

Combine like terms: -3 + 51 = 48
48 + 4y + y = 5y + 50 + -2y

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

Reorder the terms:
48 + 5y = 50 + 5y + -2y

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

Solving
48 + 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.
48 + 5y + -3y = 50 + 3y + -3y

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

Combine like terms: 3y + -3y = 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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