-y-3y+71=33y-16y+8

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Solution for -y-3y+71=33y-16y+8 equation:


Simplifying
-1y + -3y + 71 = 33y + -16y + 8

Reorder the terms:
71 + -1y + -3y = 33y + -16y + 8

Combine like terms: -1y + -3y = -4y
71 + -4y = 33y + -16y + 8

Reorder the terms:
71 + -4y = 8 + 33y + -16y

Combine like terms: 33y + -16y = 17y
71 + -4y = 8 + 17y

Solving
71 + -4y = 8 + 17y

Solving for variable 'y'.

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

Add '-17y' to each side of the equation.
71 + -4y + -17y = 8 + 17y + -17y

Combine like terms: -4y + -17y = -21y
71 + -21y = 8 + 17y + -17y

Combine like terms: 17y + -17y = 0
71 + -21y = 8 + 0
71 + -21y = 8

Add '-71' to each side of the equation.
71 + -71 + -21y = 8 + -71

Combine like terms: 71 + -71 = 0
0 + -21y = 8 + -71
-21y = 8 + -71

Combine like terms: 8 + -71 = -63
-21y = -63

Divide each side by '-21'.
y = 3

Simplifying
y = 3

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