-3y+2=-5y+12

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


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

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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 2y = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 2y = 12 + -2
2y = 12 + -2

Combine like terms: 12 + -2 = 10
2y = 10

Divide each side by '2'.
y = 5

Simplifying
y = 5

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