2y-3y+8=8-5y-12

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Solution for 2y-3y+8=8-5y-12 equation:


Simplifying
2y + -3y + 8 = 8 + -5y + -12

Reorder the terms:
8 + 2y + -3y = 8 + -5y + -12

Combine like terms: 2y + -3y = -1y
8 + -1y = 8 + -5y + -12

Reorder the terms:
8 + -1y = 8 + -12 + -5y

Combine like terms: 8 + -12 = -4
8 + -1y = -4 + -5y

Solving
8 + -1y = -4 + -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.
8 + -1y + 5y = -4 + -5y + 5y

Combine like terms: -1y + 5y = 4y
8 + 4y = -4 + -5y + 5y

Combine like terms: -5y + 5y = 0
8 + 4y = -4 + 0
8 + 4y = -4

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

Combine like terms: 8 + -8 = 0
0 + 4y = -4 + -8
4y = -4 + -8

Combine like terms: -4 + -8 = -12
4y = -12

Divide each side by '4'.
y = -3

Simplifying
y = -3

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