6y+2=3y-3

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Solution for 6y+2=3y-3 equation:


Simplifying
6y + 2 = 3y + -3

Reorder the terms:
2 + 6y = 3y + -3

Reorder the terms:
2 + 6y = -3 + 3y

Solving
2 + 6y = -3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
2 + 6y + -3y = -3 + 3y + -3y

Combine like terms: 6y + -3y = 3y
2 + 3y = -3 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + 3y = -3 + 0
2 + 3y = -3

Add '-2' to each side of the equation.
2 + -2 + 3y = -3 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = -3 + -2
3y = -3 + -2

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

Divide each side by '3'.
y = -1.666666667

Simplifying
y = -1.666666667

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