8y+16-3y-12=6y-42+8

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Solution for 8y+16-3y-12=6y-42+8 equation: 


Simplifying
8y + 16 + -3y + -12 = 6y + -42 + 8

Reorder the terms:
16 + -12 + 8y + -3y = 6y + -42 + 8

Combine like terms: 16 + -12 = 4
4 + 8y + -3y = 6y + -42 + 8

Combine like terms: 8y + -3y = 5y
4 + 5y = 6y + -42 + 8

Reorder the terms:
4 + 5y = -42 + 8 + 6y

Combine like terms: -42 + 8 = -34
4 + 5y = -34 + 6y

Solving
4 + 5y = -34 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
4 + 5y + -6y = -34 + 6y + -6y

Combine like terms: 5y + -6y = -1y
4 + -1y = -34 + 6y + -6y

Combine like terms: 6y + -6y = 0
4 + -1y = -34 + 0
4 + -1y = -34

Add '-4' to each side of the equation.
4 + -4 + -1y = -34 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = -34 + -4
-1y = -34 + -4

Combine like terms: -34 + -4 = -38
-1y = -38

Divide each side by '-1'.
y = 38

Simplifying
y = 38

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