3y+2y-5y+12=2y-7y-5y+8

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Solution for 3y+2y-5y+12=2y-7y-5y+8 equation: 


Simplifying
3y + 2y + -5y + 12 = 2y + -7y + -5y + 8

Reorder the terms:
12 + 3y + 2y + -5y = 2y + -7y + -5y + 8

Combine like terms: 3y + 2y = 5y
12 + 5y + -5y = 2y + -7y + -5y + 8

Combine like terms: 5y + -5y = 0
12 + 0 = 2y + -7y + -5y + 8
12 = 2y + -7y + -5y + 8

Reorder the terms:
12 = 8 + 2y + -7y + -5y

Combine like terms: 2y + -7y = -5y
12 = 8 + -5y + -5y

Combine like terms: -5y + -5y = -10y
12 = 8 + -10y

Solving
12 = 8 + -10y

Solving for variable 'y'.

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

Add '10y' to each side of the equation.
12 + 10y = 8 + -10y + 10y

Combine like terms: -10y + 10y = 0
12 + 10y = 8 + 0
12 + 10y = 8

Add '-12' to each side of the equation.
12 + -12 + 10y = 8 + -12

Combine like terms: 12 + -12 = 0
0 + 10y = 8 + -12
10y = 8 + -12

Combine like terms: 8 + -12 = -4
10y = -4

Divide each side by '10'.
y = -0.4

Simplifying
y = -0.4

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