y-3y+2=16-5y+1

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Solution for y-3y+2=16-5y+1 equation: 


Simplifying
y + -3y + 2 = 16 + -5y + 1

Reorder the terms:
2 + y + -3y = 16 + -5y + 1

Combine like terms: y + -3y = -2y
2 + -2y = 16 + -5y + 1

Reorder the terms:
2 + -2y = 16 + 1 + -5y

Combine like terms: 16 + 1 = 17
2 + -2y = 17 + -5y

Solving
2 + -2y = 17 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
2 + -2y + 5y = 17 + -5y + 5y

Combine like terms: -2y + 5y = 3y
2 + 3y = 17 + -5y + 5y

Combine like terms: -5y + 5y = 0
2 + 3y = 17 + 0
2 + 3y = 17

Add '-2' to each side of the equation.
2 + -2 + 3y = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 17 + -2
3y = 17 + -2

Combine like terms: 17 + -2 = 15
3y = 15

Divide each side by '3'.
y = 5

Simplifying
y = 5

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