5y+3=2y-6

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Solution for 5y+3=2y-6 equation:


Simplifying
5y + 3 = 2y + -6

Reorder the terms:
3 + 5y = 2y + -6

Reorder the terms:
3 + 5y = -6 + 2y

Solving
3 + 5y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
3 + 5y + -2y = -6 + 2y + -2y

Combine like terms: 5y + -2y = 3y
3 + 3y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
3 + 3y = -6 + 0
3 + 3y = -6

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

Combine like terms: 3 + -3 = 0
0 + 3y = -6 + -3
3y = -6 + -3

Combine like terms: -6 + -3 = -9
3y = -9

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

Simplifying
y = -3

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